Books
D. Beltita, Smooth Homogeneous Structures in Operator Theory, Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, vol. 137, Chapman & Hall/CRC Press, Boca Raton-London-New York-Singapore, 2006. (Here is the book flyer.) (Here is a preview.)
D. Beltita, M. Sabac, Lie Algebras of Bounded Operators, Operator Theory: Advances and Applications, vol. 120, Birkhäuser, Basel-Boston-Berlin, 2001. (Here is a preview.)
Romanian translations
R. Tyrrell Rockafellar, Analiză Convexă, Texte Matematice Esentiale, vol. 4, Theta, Bucureşti, 2002. (Translation by Ingrid Beltita and Daniel Beltita.) (Here is a preview of the original book published by Princeton University Press.)
R.A. Horn, Ch.R. Johnson, Analiza Matricială, Texte Matematice Esentiale, vol. 2, Theta, Bucureşti, 2001. (Translation by Ingrid Beltita, Daniel Beltita, and Radu-Nicolae Gologan.) (Here is a preview of the original book published by Cambridge University Press.)
Papers
-- 2024 --
D. Beltita, F. Pelletier, Transitive Lie algebroids and Q-manifolds. Preprint arXiv:2404.10607 [math.DG].
D. Beltita, A. Dobrogowska, G. Jakimowicz, Cyclic Lie-Rinehart algebras. Preprint arXiv:2402.10845 [math.DG].
D. Beltita, G. Larotonda, Groupoid techniques in operator theory. In: P. Kielanowski, D. Beltita, A. Dobrogowska, T. Golinski (eds.), Geometric Methods in Physics XL, XL Workshop, Białowieża, Poland, July 2 - 8, 2023. Birkhäuser, Basel, 2024 (to appear).
-- 2023 --
D. Beltita, F. Pelletier, Smooth Banach structure on leaf spaces and orbit spaces. Preprint arXiv:2305.16167 [math.DG].
I. Beltita, D. Beltita, On the regular representation of solvable Lie groups with open coadjoint quasi-orbits. Preprint arXiv: 2305.04452 [math.RT].
D. Beltita, K.-H. Neeb, Holomorphic extension of one-parameter operator groups. Pure and Applied Functional Analysis (to appear).
I. Beltita, D. Beltita, Solvable Lie groups whose regular representation is a factor representation. In: P. Kielanowski, A. Dobrogowska, G.A. Goldin, T. Golinski (eds.), Geometric Methods in Physics XXXIX, XXXIX Workshop, Białystok, Poland, June 19 - 25, 2022. Birkhäuser, Basel, 2023, pp. 137-145. (Here is the online published final version.)
D. Beltita, Lecture notes on quantization and group C*-algebras. In: P. Kielanowski, A. Dobrogowska, G.A. Goldin, T. Golinski (eds.), Geometric Methods in Physics XXXIX, XXXIX Workshop, Białystok, Poland, June 19 - 25, 2022. Birkhäuser, Basel, 2023, pp. 319-327. (Here is the online published final version.)
I. Beltita, D. Beltita, On stably finiteness for $C^*$-algebras of exponential solvable Lie groups. Mathematische Zeitschrift 304 (2023), issue 1, art. no. 2. (Here is the full-text view-only version for free.) (Here is free download at arXiv.) (Here is the online published final version.)
D. Beltita, G. Larotonda, Unitary group orbits versus groupoid orbits of normal operators. The Journal of Geometric Analysis 33 (2023), issue 3, art. no. 95. (Here is the full-text view-only version for free.) (Here is free download at arXiv.) (Here is the online published final version.)
-- 2022 --
I. Beltita, D. Beltita, A note on ideal spaces of Mautner groups. Preprint arXiv: 2211.04424 [math.OA].
I. Beltita, D. Beltita, Continuous selection of Lagrangian subspaces. Linear and Multilinear Algebra (to appear). (Here is the final version for free.) (Here is the online published final version.)
-- 2021 --
I. Beltita, D. Beltita, Square-integrable representations and the coadjoint action of solvable Lie groups. Forum Mathematicum (to appear). (Here is the online published final version.)
I. Beltita, D. Beltita, J.E. Gale, Transference for Banach space representations of nilpotent Lie groups. Part 2. Pedersen multipliers. The Journal of Geometric Analysis 31 (2021), no. 12, 12568-12593. (Here is the full-text view-only version for free.) (Here is the online published final version.)
I. Beltita, D. Beltita, On the isomorphism problem for $C^*$-algebras of nilpotent Lie groups. Journal of Topology and Analysis 13 (2021), no. 3, 753-782. (Here is the online published final version.)
I. Beltita, D. Beltita, Linear dynamical systems of nilpotent Lie groups. Journal of Fourier Analysis and Applications 27 (2021), no. 5, article no. 74. (Here is the full-text view-only version for free.) (Here is the online published final version.)
I. Beltita, D. Beltita, Traces of $C^*$-algebras of connected solvable groups. Journal of Mathematical Analysis and Applications 500 (2021), no. 1, article no. 125135. (Here is the online published final version.)
I. Beltita, D. Beltita, AF-embeddability for Lie groups with $T_1$ primitive ideal spaces. Journal of the London Mathematical Society 104 (2021), no. 1, 320-340. (Here is the online published final version.)
-- 2020 --
D. Beltita, A. Odzijewicz, Standard groupoids of von Neumann algebras. In: P. Kielanowski, A. Odzijewicz, E. Previato (eds.), Geometric Methods in Physics XXXVIII, XXXVIII Workshop, Białowieża, Poland, June 30 - July 6, 2019. Birkhäuser, Basel, 2020, pp. 31-39. (Here is the online published final version.)
D. Beltita, H. Grundling, K.-H. Neeb, Covariant representations for possibly singular actions on $C^*$-algebras. Dissertationes Mathematicae 549 (2020), 1-94. (Here is the online published final version.)
-- 2019 --
D. Beltita, A. Odzijewicz, Poisson geometrical aspects of the Tomita-Takesaki modular theory. Preprint arXiv: 1910.14466 [math.OA].
D. Beltita, F. Pelletier, A. Zergane, On the smoothness of some quotients of Banach-Lie groups. Differential Geometry and its Applications 67 (2019), 101556. (Here is the online published final version.)
D. Beltita, A. Zergane, Coadjoint orbits in representation theory of pro-Lie groups. In: P. Kielanowski, A. Odzijewicz, E. Previato (eds.), Geometric Methods in Physics. XXXVI Workshop, Białowieża, Poland, July 2 - 8, 2017. Birkhäuser, Basel, 2019, pp. 281--287. (Here is the online published final version.)
D. Beltita, T. Golinski, G. Jakimowicz, F. Pelletier, Banach-Lie groupoids and generalized inversion. Journal of Functional Analysis 276 (2019), no. 5, 1528--1574. (Here is the online published final version.)
-- 2018 --
I. Beltita, D. Beltita, J.E. Gale, Transference for Banach space representations of nilpotent Lie groups. Part 1. Irreducible representations. Proceedings of the American Mathematical Society 146 (2018), no. 12, 5065-5075. (Here is the online published final version.)
D. Beltita, T. Golinski, A.B. Tumpach, Queer Poisson brackets. Journal of Geometry and Physics 132 (2018), 358-362. (Here is the online published final version.)
I. Beltita, D. Beltita, $C^*$-dynamical systems of solvable Lie groups. Transformation Groups 23 (2018), no. 3, 589-629. (Here is the full-text view-only version for free.) (Here is the online published final version.)
I. Beltita, D. Beltita, B. Cahen, Berezin symbols on Lie groups. In: P. Kielanowski, A. Odzijewicz, E. Previato (eds.), Geometric Methods in Physics. XXXV Workshop, Białowieża, Poland, June 26 - July 2, 2016. Birkhäuser, Basel, 2018, pp. 11-17. (Here is the online published final version.)
I. Beltita, D. Beltita, Quasidiagonality of $C^*$-algebras of solvable Lie groups. Integral Equations and Operator Theory 90 (2018), no. 1, article no. 5. (Here is the full-text view-only version for free.) (Here is the online published final version.)
-- 2017 --
I. Beltita, D. Beltita, Topological aspects of group $C^*$-algebras. In: K. Grabowska, J. Grabowski, A. Fialowski, K.-H. Neeb (eds.), 50th Seminar “Sophus Lie”, Banach Center Publications, vol. 113, Warszawa, 2017, pp. 39-57. (Here is the online published final version.)
I. Beltita, D. Beltita, Nonlinear oblique projections. Linear Algebra and its Applications 533 (2017), 451-467. (Here is the online published final version.)
D. Beltita, J.E. Gale, Infinitesimal aspects of idempotents in Banach algebras. In: Ph. Jaming, A. Hartmann, K. Kellay, S. Kupin, G. Pisier, D. Timotin, M. Zarrabi (eds.), Harmonic Analysis, Function Theory, Operator Theory and Applications. Theta, Bucharest, 2017, pp. 43-69.
D. Beltita, A. Zergane, Amenability and representation theory of pro-Lie groups. Mathematische Zeitschrift 286 (2017), no. 1-2, 701--722. (Here is the full-text view-only version for free.) (Here is the online published final version.)
I. Beltita, D. Beltita, J. Ludwig, Fourier transforms of $C^*$-algebras of nilpotent Lie groups. International Mathematics Research Notices IMRN 2017, no. 3, 677-714. (Here is the online published final version.)
-- 2016 --
D. Beltita, K.-H. Neeb, Polynomial representations of $C^*$-algebras and their applications. Integral Equations and Operator Theory 86 (2016), no. 4, 545-578. (Here is the full-text view-only version for free.) (Here is the online published final version.)
I. Beltita, D. Beltita, Representations of nilpotent Lie groups via measurable dynamical systems. In: P. Kielanowski, S.T. Ali, P. Bieliavsky, A. Odzijewicz, M. Schlichenmaier, T. Voronov (eds.), Geometric Methods in Physics. XXXIV Workshop, Białowieża, Poland, June 28 - July 4, 2015. Birkhäuser, Basel, 2016, pp. 79-88. (Here is the online published final version.)
I. Beltita, D. Beltita, M. Mantoiu, Symbol calculus of square-integrable operator-valued maps. Rocky Mountain Journal of Mathematics 46 (2016), no. 6, 1795-1851. (Here is the online published final version.)
I. Beltita, D. Beltita, M. Mantoiu, On Wigner transforms in infinite dimensions. Journal of Mathematical Physics 57 (2016), no. 2, 021705, 13 pp. (Here is the online published final version.)
I. Beltita, D. Beltita, On C*-algebras of exponential solvable Lie groups and their real ranks. Journal of Mathematical Analysis and Applications 437 (2016), no. 1, 51-58. (Here is the online published final version.)
I. Beltita, D. Beltita, Coadjoint orbits of stepwise square integrable representations. Proceedings of the American Mathematical Society 144 (2016), no. 3, 1343–1350. (Here is the online published final version.)
D. Beltita, J.E. Gale, Reproducing kernels and positivity of vector bundles in infinite dimensions. In: M. de Jeu, B. de Pagter, O. van Gaans, and M. Veraar (eds.), "Ordered Structures and Applications", Trends in Mathematics, Springer, 2016, pp. 51-75. (Here is the online published final version.)
D. Beltita, S. Patnaik, G. Weiss, Cartan subalgebras of operator ideals. Indiana University Mathematics Journal 65 (2016), no. 1, 1-37. (Here is the online published final version.)
-- 2015 --
I. Beltita, D. Beltita, J.E. Gale, Transference for Banach space representations of nilpotent Lie groups. Preprint arXiv:1511.08359 [math.RT].
D. Beltita, K.-H. Neeb, Nonlinear completely positive maps and dilation theory for real involutive algebras. Integral Equations and Operator Theory 83 (2015), no. 4, 517-562. (Here is the full-text view-only version for free.) (Here is the online published final version.)
I. Beltita, D. Beltita, Inverse-closed algebras of integral operators on locally compact groups. Annales Henri Poincare 16 (2015), no. 5, 1283-1306. (Here is the full-text view-only version for free.) (Here is the online published final version.)
I. Beltita, D. Beltita, M. Pascu, Weyl-Pedersen calculus for some semidirect products of nilpotent Lie groups. Differential Geometry and its Applications 40 (2015), 278-289. (Here is the online published final version.)
D. Beltita, J.E. Gale, Geometric perspectives on reproducing kernels. In: D. Alpay (editor-in-chief), Operator Theory, Reference Work, Springer Reference, 2015, pp. 127-148.
D. Beltita, J.E. Gale, Coherent state map quantization in a Hermitian-like setting. Journal of Geometry and Physics 92 (2015), 100-118. (Here is the online published final version.)
I. Beltita, D. Beltita, Boundedness for Weyl-Pedersen calculus on flat coadjoint orbits. International Mathematics Research Notices 2015, no. 3, 787-816. (Here is the online published final version.)
I. Beltita, D. Beltita, On Kirillov's lemma for nilpotent Lie algebras. Journal of Algebra 427 (2015), 85-103. (Here is the online published final version.)
I. Beltita, D. Beltita, Faithful representations of infinite-dimensional nilpotent Lie algebras. Forum Mathematicum 27 (2015), no. 1, 255-267. (Here is the online published final version.)
D. Beltita, M. Nicolae, Moment convexity of solvable locally compact groups. Journal of Lie Theory 25 (2015), no. 3, 733-751. (Here is the online published final version.)
D. Beltita, M. Nicolae, On universal enveloping algebras in a topological setting. Studia Mathematica 230 (2015), no. 1, 1-29. (Here is the online published final version.)
D. Beltita, B. Cahen, Contractions of Lie algebras with 2-dimensional generic coadjoint orbits. Linear Algebra and its Applications 466 (2015), 41-63. (Here is the online published final version.)
-- 2014 --
D. Beltita, J.E. Gale, Linear connections for reproducing kernels on vector bundles. Mathematische Zeitschrift 277 (2014), no. 1-2, 29-62. (Here is the full-text view-only version for free.) (Here is the online published final version.)
D. Beltita, S. Patnaik, G. Weiss, Interplay between Algebraic Groups, Lie Algebras and Operator Ideals. In: D. Gaspar, D. Timotin, F.-H. Vasilescu, and L. Zsidó (eds.), The Varied Landscape of Operator Theory (Conference Proceedings, Timisoara, July 2-7, 2012), Theta, Bucharest, 2014, pp. 77-97.
D. Beltita, S. Patnaik, G. Weiss, $B(H)$-Commutators: A Historical Survey II and recent advances on commutators of compact operators. In: D. Gaspar, D. Timotin, F.-H. Vasilescu, and L. Zsidó (eds.), The Varied Landscape of Operator Theory (Conference Proceedings, Timisoara, July 2-7, 2012), Theta, Bucharest, 2014, pp. 57-75.
-- 2013 --
I. Beltita, D. Beltita, On the differentiable vectors for contragredient representations. Comptes rendus de l'Académie de sciences de Paris - Mathématique 351 (2013), no. 13-14, 513-516. (Here is the online published final version.)
I. Beltita, D. Beltita, M. Pascu, Boundedness for pseudo-differential calculus on nilpotent Lie groups. In: P. Kielanowski, S. Twareque Ali, A. Odesski, A. Odzijewicz, M. Schlichenmaier, Th. Voronov (eds.), Geometric Methods in Physics. XXXI Workshop, Białowieża, Poland, June 24-30, 2012. Birkhäuser, Basel, 2013, pp. 87-97. (Here is the online published final version.)
-- 2012 --
I. Beltita, D. Beltita, Algebras of symbols associated with the Weyl calculus for Lie group representations. Monatshefte für Mathematik 167 (2012), no. 1, 13-33. (Here is the full-text view-only version for free.) (Here is the online published final version.)
D. Beltita, K.-H. Neeb, Schur-Weyl Theory for C*-algebras. Mathematische Nachrichten 285 (2012), no. 10, 1170-1198. (Here is the online published final version.)
-- 2011 --
I. Beltita, D. Beltita, On differentiability of vectors in Lie group representations. Journal of Lie Theory 21 (2011), no. 4, 771-785. (Here is the online published final version.)
I. Beltita, D. Beltita, Modulation spaces of symbols for representations of nilpotent Lie groups. Journal of Fourier Analysis and Applications 17 (2011), no. 2, 290-319. (Here is the online published final version.)
I. Beltita, D. Beltita, Continuity of magnetic Weyl calculus. Journal of Functional Analysis 260 (2011), no. 7, 1944-1968. (Here is the online published final version.)
D. Beltita, J.E. Gale, Universal objects in categories of reproducing kernels. Revista Matemática Iberoamericana 27 (2011), no. 1, 123-179. (Here is the online published final version.)
D. Beltita, Functional analytic background for a theory of infinite-dimensional reductive Lie groups. In: K.-H. Neeb, A. Pianzola (eds.), Developments and Trends in Infinite-Dimensional Lie Theory, Progress in Mathematics 288, Birkhäuser Verlag, Basel, 2011, pp. 367-392. (Here is the online published final version.)
-- 2010 --
I. Beltita, D. Beltita, On Weyl calculus in infinitely many variables. In: P. Kielanowski, V. Buchstaber, A. Odzijewicz, M. Schlichenmaier, Th. Voronov (eds.), XXIX Workshop on Geometrical Methods in Physics, AIP Conf. Proc., Amer. Inst. Phys., 1307, Melville, NY, 2010, pp. 19-26. (Here is the online published final version.)
I. Beltita, D. Beltita, Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups. Annals of the University of Bucharest (mathematical series) 1 (LIX) (2010), no. 1, 17-46. (Here is the online published final version.)
D. Beltita, Lie theoretic significance of the measure topologies associated with a finite trace. Forum Mathematicum 22 (2010), no. 2, 241-253. (Here is the online published final version.)
D. Beltita, K.-H. Neeb, Geometric characterization of hermitian algebras with continuous inversion. Bulletin of the Australian Mathematical Society 81 (2010), no. 1, 96-113. (Here is the online published final version.)
I. Beltita, D. Beltita, Uncertainty principles for magnetic structures on certain coadjoint orbits. Journal of Geometry and Physics 60 (2010), no. 1, 81-95. (Here is the online published final version.)
-- 2009 --
I. Beltita, D. Beltita, A survey on Weyl calculus for representations of nilpotent Lie groups. In: P. Kielanowski, S.T. Ali, A. Odzijewicz, M. Schlichenmaier, Th. Voronov (eds.), XXVIII Workshop on Geometrical Methods in Physics, AIP Conf. Proc., Amer. Inst. Phys., 1191, Melville, NY, 2009, pp. 7-20. (Here is the online published final version.)
D. Beltita, J.E. Gale, On complex infinite-dimensional Grassmann manifolds. Complex Analysis and Operator Theory 3 (2009), no. 4, 739-758. (Here is the full-text view-only version for free.) (Here is the online published final version.)
D. Beltita, Iwasawa decompositions of some infinite-dimensional Lie groups. Transactions of the American Mathematical Society 361 (2009), no. 12, 6613-6644. (Here is the online published final version.)
I. Beltita, D. Beltita, Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups. Annals of Global Analysis and Geometry 36 (2009), no. 3, 293-322. (Here is the full-text view-only version for free.) (Here is the online published final version.)
-- 2008 --
D. Beltita, J.E. Gale, Holomorphic geometric models for representations of C*-algebras. Journal of Functional Analysis 255 (2008), no. 10, 2888-2932. (Here is the online published final version.)
D. Beltita, K.-H. Neeb, A nonsmooth continuous unitary representation of a Banach-Lie group. Journal of Lie Theory 18 (2008), no. 4, 933-936. (Here is the online published final version.)
D. Beltita, K.-H. Neeb, Finite-dimensional Lie subalgebras of algebras with continuous inversion. Studia Mathematica 185 (2008), no. 3, 249-262. (Here is the online published final version.)
-- 2007 --
D. Beltita, T.S. Ratiu, A.B. Tumpach, The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits. Journal of Functional Analysis 247 (2007), no. 1, 138-168. (Here is the online published final version.)
D. Beltita, B. Prunaru, Amenability, completely bounded projections, dynamical systems and smooth orbits. Integral Equations and Operator Theory 57 (2007), no. 1, 1-17. (Here is the full-text view-only version for free.) (Here is the online published final version).
D. Beltita, T.S. Ratiu, Geometric representation theory for unitary groups of operator algebras. Advances in Mathematics 208 (2007), no. 1, 299-317. (Here is the online published final version.)
-- 2005 --
D. Beltita, Integrability of analytic almost complex structures on Banach manifolds. Annals of Global Analysis and Geometry 28 (2005), no. 1, 59-73. (Here is the full-text view-only version for free.) (Here is the online published final version.)
D. Beltita, T.S. Ratiu, Symplectic leaves in real Banach Lie-Poisson spaces. Geometric and Functional Analysis 15 (2005), no. 4, 753-779. (Here is the online published final version.)
D. Beltita, On Banach-Lie algebras, spectral decompositions and complex polarizations. In: D. Gaspar, I. Gohberg, D. Timotin, F.-H. Vasilescu, L. Zsido (eds.), Recent Advances in Operator Theory, Operator Algebras, and their Applications. XIXth International Conference on Operator Theory, Timisoara (Romania), 2002, Oper. Theory Adv. Appl., 153, Birkhäuser Verlag, Basel, 2005, pp. 13-38.
-- 2004 --
D. Beltita, M. Sabac, Polynomial sequences of bounded operators. Journal of Functional Analysis 209 (2004), no. 1, 101-136. (Here is the online published final version.)
D. Beltita, Asymptotic products and enlargibility of Banach-Lie algebras. Journal of Lie Theory 14 (2004), no. 1, 215-226.
-- 2003 --
D. Beltita, Complex homogeneous spaces of pseudo-restricted groups. Mathematical Research Letters 10 (2003), no. 4, 459-467.
-- 2002 --
D. Beltita, Spectra for solvable Lie algebras of bundle endomorphisms. Mathematische Annalen 324 (2002), no. 2, 405-429. (Here is the full-text view-only version for free.)
D. Beltita, Spectral theory within the framework of locally solvable Lie algebras. In: A. Strasburger, J. Hilgert, K.-H. Neeb, W. Wojtynski (eds.), Analysis and Geometry on Finite- and Infinite-Dimensional Lie Groups, Banach Center Publications, vol. 55., Warszawa, 2002, pp. 13-25.
-- 2001 --
D. Beltita, Analytic joint spectral radius in a solvable Lie algebra of operators. Studia Mathematica 144 (2001), no. 2, 153-167.
D. Beltita, Spectral conditions for the nilpotency of Lie algebras. Journal of Operator Theory 46 (2001), no. 3, suppl., 593-603. (Here is the online published final version.)
-- 1999 --
D. Beltita, Spectrum for a solvable Lie algebra of operators. Studia Mathematica 135 (1999), no. 2, 163-178.
-- 1998 --
D. Beltita, M. Sabac, An asymptotic formula for the commutators. Journal of Functional Analysis 153 (1998), no. 2, 262-275. (Here is the online published final version).
D. Beltita, On certain Lie algebras of normal operators. Revue roumaine des mathematiques pures et appliquees 43 (1998), no. 7-8, 653-658.
-- 1996 --
D. Beltita, Joint invariant subspaces for some commuting tuples of bounded linear operators. Revue roumaine des mathematiques pures et appliquees 41 (1996), no. 9-10, 583-589.
