Research

Papers published:

• A. Tcaciuc, Invariant subspace problem for rank-one perturbations: the quantitative version, to appear in Journal of Functional Analysis, (arXiv: 2006.11954)

• A. Klick, N. Strungaru, A. Tcaciuc, On arithmetics progressions in model sets, Discrete and Computational Geometry, 67(2022), 930-946, (doi: 10.1007/s00454-020-00252-6) (arXiv:2003.13860)

• C. Brech, V. Ferenczi, A. Tcaciuc, Isometries of combinatorial Banach spaces, Proceedings of AMS, 148(11) (2020), 4845-4854, (doi: 10.1090/proc/15122) (arXiv:1907.06815)

• A. Tcaciuc, The invariant subspace problem for rank-one perturbations, Duke Mathematical Journal 168(8) (2019), 1539-1550, (doi:10.1215/00127094-2018-0071) (arXiv:1707.07836)

• A. Tcaciuc, On quasinilpotent operators and the invariant subspace problem, Journal of Mathematical Analysis and Applications, 477(1)(2019), 187-195, (doi: 10.1016/j.jmaa.2019.04.026) (arXiv:1805.03277)

• A. Tcaciuc, B. Wallis, Controlling the constructions of almost-invariant halfspaces in both real and complex settings, Integral Equations and Operator Theory, 87(1) (2017), 117-137 (arXiv:1608.00388)

• A. Popov, A. Tcaciuc, Every operator has almost-invariant subspaces, Journal of Functional Analysis, 256(2)(2013), 257-265 (arXiv:1208.5831)

• Q. Bu, G. Buskes, A. Popov, A. Tcaciuc, V. Troitsky, The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square, Positivity 17(2) (2013), 283-298 (arXiv:1109.5380)

• A. Kaminska, A. Popov, E. Spinu, A. Tcaciuc, V. Troitsky, Norm closed operator ideals in Lorentz sequence spaces, Journal of Mathematical Analysis and Applications, 389(1)(2012), 247-260 (arXiv:1108.6026)

• G. Androulakis, N. Kalton, A. Tcaciuc, On Banach spaces containing l_p or c_0, Houston Journal of Mathematics, 37(3)(2011), 859-866 (arXiv:0810.0325)

• H. Gessesse, A. Popov, H. Radjavi, E. Spinu, A. Tcaciuc, V. Troitsky, Bounded indecomposable semigroups of non-negative matrices, Positivity, 14(3)(2010), 383-394 (preprint)

• G. Androulakis, A. Popov, A. Tcaciuc, V. Troitsky, Almost invariant half-spaces of operators on Banach spaces, Integral Equations and Operator Theory, 65(4)(2009), 473-484 (arXiv:0901.0752)

• A. Tcaciuc, On the existence of asymptotic-l_p structures in Banach spaces, Canadian Mathematical Bulletin, 50(4)(2007), 619-631 (preprint)

• R. Anisca, A. Tcaciuc, N. Tomczak-Jaegermann, Structure of normed spaces with extremal distance to the Euclidean space, Houston J. Math, 31(2005), 267-283 (preprint)