Publications

Preprints:

1. Homomorphisms of quantum hypergraphs, arXiv:2311.06355, with Gage Hoefer (22 pages)

2. Values of cooperative quantum games,  arXiv:2310.17735,  with J. Crann, R. H. Levene and L. Turowska (60 pages)

3. Operator systems, contextuality and non-locality, with M. Anoussis and A. Chatzinikolaou (50 pages)

4. Symmetrisations of operator spaces, with G. K. Eleftherakis and E. T. A. Kakariadis (110 pages)



Published papers:

76.  Morita equivalence for operator systems, to appear in Journal d'Analyse Mathematique, with G. K. Eleftherakis and E. T. A. Kakariadis (40 pages)

75. Quantum no-signalling bicorrelations, to appear in Advances in Mathematics, with M. Brannan, S. J. Harris and L. Turowska (76 pages)

74. Quantum no-signalling correlations and non-local games, to appear in Communications in Mathematical Physics, with L. Turowska (72 pages)

73. Coupling capacity in C*-algebras, to appear in the Proceedings of the Royal Society of Edinburgh Section A, with A. Skalski and L. Turowska (19 pages)

72. Quantum hypergraph homomorphisms and non-local games, Dissertationes Math. 588 (2023), 1-54, with G. Hoefer

71. Products of synchronous games, Studia Math. 272 (2023), no. 3, 299-317,  with L. Mancinska, V. I. Paulsen and A. Winter

70. Synchronicity for quantum non-local games, J. Funct. Anal. 284 (2023), no. 2, Paper No. 109738,  with M. Brannan, S. J. Harris and L. Turowska

69. Information theoretic parameters of non-commutative graphs and convex corners, Illinois J. Math. 66 (2022), no. 2, 123-187, with G. Boreland and A. Winter

68. Completely compact Herz-Schur multipliers of dynamical systems,  J. Fourier Anal. Appl. 28 (2022), no. 3, Paper No. 47, with W. He and L. Turowska

67. Central and convolution Herz-Schur multipliers,  New York J. Math., 28 (2022), 1-43, with A. McKee, R. Pourshahami and L. Turowska

 

66. Operator system structures and positive extensions of Schur multipliers, Int. Math. Res. Not. IMRN (2021), no. 17, 12809-12846, with Y.-F. Lin

 

65. Sandwich theorems and capacity bounds for non-commutative graphs, J. Combin. Theory Ser. A 177 (2021), 105302, 39 pp, with G. Boreland and A. Winter

 

64. State convertibility in the von Neumann algebra framework, Comm. Math. Phys. 378 (2020), no. 2, 1123-1156, with J. Crann, D. Kribs and R. Levene

 

63. Bilinear operator multipliers into the trace class, J. Funct. Anal. 279 (2020), no. 7, 108649, 40 pp, with C. Le Merdy and L. Turowska

 

62. Reduced spectral synthesis and compact operator synthesis, Adv. Math. 367 (2020), 107109, 49pp, with V. S. Shulman and L. Turowska

 

61. Perfect strategies for non-signalling games, Math. Phys. Anal. Geom. 23 (2020), no. 1, Paper No. 7, 31pp, with M. Lupini, L. Man\v{c}inska, V. I. Paulsen, D. E. Roberson, G. Scarpa, S. Severini and A. Winter

 

60. Completely bounded maps and invariant subspaces, Math. Z. 294 (2020), no. 1-2, 471-489, with M. Alaghmandan and L. Turowska

 

59. Bimodules over ${\rm VN}(G)$, harmonic operators and  the non-commutative Poisson boundary, Studia Math. 249 (2019), no. 2, 193-213, with M. Anoussis and A. Katavolos

 

58. Transference and preservation of uniqueness, Israel J. Math. 230 (2019), no. 1, 1-21, with L. Turowska

 

57. Norms of vector functionals, Proc. Amer. Math. Soc. 147 (2019), no. 5, 2057-2068, with M. Anoussis and N. Ozawa

 

56. Inductive limits in the operator system and related categories, Dissertationes Math. 536 (2018), 1-57, with L. Mawhinney

 

55. Complexity and capacity bounds for quantum channels, IEEE Trans. Inf. Theory, 64 (2018), no. 10, 6917-6928, with R. Levene and V. Paulsen

 

54. Characterizations of the weak expectation property, New York J. Math. 24a (2018) 1-29,  with D. Farenick, A. Kavruk and V. I. Paulsen

 

53. Herz-Schur multipliers of dynamical systems, Adv. Math.  331 (2018), 387-438, with A. McKee and L. Turowska

 

52. Positive Herz-Schur multipliers and approximation properties of crossed products, Math. Proc. Cambridge Philos. Soc. 165 (2018), no. 3, 511-532, with A. McKee, A. Skalski and L. Turowska

 

51. Completely bounded bimodule maps and spectral synthesis,  Internat. J. Math. 28 (2017), no. 10, 1750067, 40 pp., with M. Alaghmandan and L. Turowska

  

50. Weakened synthesis in harmonic analysis and compact synthesis in operator theory,

Funct. Anal. Appl. 51 (2017), no. 3, 240-243, with L. Turowska and V. S. Shulman

 

49. Positive extensions of Schur multipliers, J. Operator Theory 78 (2017), no. 1, 45-69, with R. Levene and Y.-F. Lin

 

48. Schur multipliers of Cartan pairs, Proc. Edinburgh Math. Soc. 60 (2017), no. 2, 413-440, with R. Levene, N. Spronk and L. Turowska

 

47. Schur idempotents and hyperreflexivity, Israel J. Math. 215 (2016), no. 1, 317-337, with G. Eleftherakis and R. Levene

 

46. Ideals of the Fourier algebra, supports  and harmonic operators, Math. Proc. Cambridge Phil. Soc. 161 (2016), no. 2, 223-235, with M. Anoussis and A. Katavolos

 

45. Operator synthesis and tensor products, Trans. Amer. Math. Soc. 368 (2016), 5271-5300, with G. Eleftherakis

 

44. Private algebras in quantum information and infinite-dimensional complementarity, J. Math. Phys. 57 (2016), no. 1, 015208, 14 pp, with J. Crann, D. W. Kribs and R. Levene

 

43. Estimating quantum chromatic numbers, J. Funct. Anal. 270 (2016), 2188-2222, with V. I. Paulsen, S. Severini, D. Stahlke and A. Winter

 

42. Tensor products of measurable operators}, Illinois J. Math.  59 (2015), no. 3, 577-595, with M. Anoussis and V. Felouzis

 

41. Quantum chromatic numbers via operator systems, Q. J. Math. 66 (2015), 677-692, with V. I. Paulsen

 

40. Sets of $p$-multiplicity in locally compact groups, Studia Math. 226 (2015), 75-93, with L. Turowska

 

39. Sets of multiplicity and closable multipliers on group algebras, J. Funct. Anal. 268 (2015), 1454-1508, with V. S. Shulman and L. Turowska

 

38. Interactions between Harmonic Analysis and Operator Theory, Serdica Math. J. 41 (2015), 13-34

 

37. Tensor products of subspace lattices and rank one density, Integral Eq. Operator Th. 79 (2014), 175-189, with S. Papapanayides

 

36. Local operator multipliers and positivity, J. Funct. Anal. 267 (2014), 80-111, with N. Steen and L. Turowska

 

35. Ideals of $A(G)$ and bimodules over maximal abelian selfadjoint algebras, J. Funct. Anal.  266 (2014), 6473-6500, with M. Anoussis and A. Katavolos

34. Operator systems from discrete groups, Comm. Math. Phys. 329 (2014), 207-238, with D. Farenick, A. Kavruk and V. I. Paulsen

 

33. Splittings of masa-bimodules, Operator Theory: Advances and Applications 233 (2014),  Algebraic methods in Functional Anaysis, 127-134, with S. Papapanayides

 

32. Compact separating maps on continuous fields of Banach spaces, Linear Algebra Appl. 439 (2013), 1221-1228, with Y.-F. Lin

 

31. Normalisers of operator algebras and tensor product formulas, Rev. Mat. Iberoam. 29 (2013), 1373-1395, with M. McGarvey and L. Oliveira

 

30. Quotients, exactness and nuclearity in the operator system category, Adv. Math. 235 (2013), 321-360, with A. Kavruk, V.I. Paulsen and M. Tomforde

 

29. Ranges of bimodule projections and reflexivity, J. Funct. Anal. 262 (2012), 4891-4915, with G. Eleftherakis

 

28. Operator algebras from the Heisenberg semigroup, Proc. Edinburgh Math. Soc. 55 (2012), 1-22, with M. Anoussis and A. Katavolos

 

27. Tensor products of operator systems, J. Funct. Anal. 261 (2011), 267-299, with A. Kavruk, V. I. Paulsen and M. Tomforde

 

26. Operator system structures on ordered spaces, Proc. London Math. Soc.  102 (2011), 25-49, with V. I. Pauslen and M. Tomforde

 

25. s-numbers of elementary operators on C*-algebras, J. Operator Theory 66 (2011), 235-260, with M. Anoussis and V. Felouzis

 

24. Closable multipliers, Integral Eq. Operator Th. 69 (2011), 29-62, with V. S. Shulman and L. Turowska

 

23. Angles in C*-algebras, Houston J. Math. 37 (2011), 501-517, with M. Anoussis and A. Katavolos

 

22. Schur and operator multipliers, Banach Centre Publications 91 (2010), 385-410, with L. Turowska

 

21. Multipliers of multidimensional Fourier algebras, Oper. Matrices 4 (2010), 459-484, with L. Turowska

 

20. Operator hyperreflexivity of subspace lattices, Integral Eq. Operator Th. 68 (2010), 383-390, with J. Bracic, K. Garlicka-Klis and V. Mueller

 

19. Convergence of bimodules over maximal abelian selfadjoint algebras, J. Operator Theory 63 (2010), 301-315, with J. L. Habgood

 

18. Stable isomorphism of dual operator spaces, J. Funct. Anal. 258 (2010), 260-278, with G. Eleftherakis and V. I. Pauslen

 

17. Normalisers, nest algebras and tensor products, Contemp. Math. 503 (2009), 141-149, with M. McGarvey

 

16. Multidimensional operator multipliers, Trans. Amer. Math. Soc. 361 (2009), 4683-4720, with K. Juschenko and L. Turowska

 

15. Compactness properties of operator multipliers, J. Funct. Anal. 256 (2009), 3772-3805, with K. Juschenko, R. Levene and L. Turowska

 

14. On the continuity of the support of masa-bimodules, Funct. Anal. Appl. 42 (2008), 242-244, with J. L. Habgood

 

13. Contractive perturbations in C*-algebras, J. Operator Theory 59 (2008), 53-68, with M. Anoussis and V. Felouzis

 

12. Synthetic properties of ternary masa-bimodules, Houston J. Math. 32 (2006), 505-519

 

11. On subspace lattices I. Closedness type properties and tensor products, Integral Eq. Operator Th. 52 (2005), 561-579, with V.S. Shulman

 

10. Compact operators on Hilbert modules, Proc. Amer. Math. Soc. 133 (2005), 257-261, with M. Anoussis

 

9. A characterisation of the normalisers of C*-algebras, Glasgow Math. J. 46 (2004), 489-498

 

8. On subspace lattices II. Continuity of Lat, J. Operator Theory 52 (2004), 1-16, with V.S. Shulman

 

7. Subspace lattices, reflexivity and tensor products, Irish Math. Soc. Bull. 53 (2004), 57-67

 

6. Normalisers of CSL algebras, Indiana Univ. Math. J. 53 (2004), 1013-1036

 

5. Normalizers of operator algebras and reflexivity, Proc. London Math. Soc. 86 (2003), 463-484, with A. Katavolos

 

4. Spectral synthesis and masa-bimodules, J. London Math. Soc. 65 (2002), 733-744

 

3. A characterization of Morita equivalence pairs, Glasgow Math. J. 44 (2002), 535-545

 

2. A functional model for polynomially posinormal operators, Integral Eq. Operator Th. 40 (2001), 61-79, with S. Kostov

 

1. Bimodules over nest algebras and Deddens' theorem, Proc. Amer. Math. Soc. 127 (1999), 1771-1780