Lyudmila Turowska

Publications

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Professor

Department of Mathematical Sciences
Chalmers University of Technology and
University of Gothenburg

Gothenburg SE-412 96, Sweden
office: +46 31 772 53 41
turowska@chalmers.se


Preprints:

  • Reduced spectral synthesis and compact operator synthesis, arXiv:1901.05832 (coauthors V.S.Shulman I.G. Todorov)

  • Beurling-Fourier algebras on Lie groups and their spectra, arXiv: 1808.05914, 96p. (coauthors Mahya Ghandehari, Hun Hee Lee, Jean Ludwig, Nico Spronk)


Published papers:

  1. Completely bounded maps and invariant subspaces, to appear in Mathematische Zeitschrift arXiv:1709.00118 (coauthors M.Alaghmandan, I.G. Todorov)

  2. Maximum modulus principle for "holomorphic functions" on the quantum matrix ball, J.Funct.Anal. 276 (2019) 1479-1509 arXiv: 1711.05981 (coauthors O.Bershtein, O.Giselsson)

  3. On the spectrum of multiplication operators, Methods of Functional Analysis and Topology, 24 (2018), no. 3, 265-274 arXiv: 1805.08553 (coauthor V.S. Shulman)

  4. Herz-Schur multipliers of dynamical systems, Advances in Math. 331 (2018), pp. 387-438, arXiv:1608.01092 (coauthors A.McKee, I.G. Todorov)

  5. Positive Herz-Schur multipliers and approximation properties of crossed products, Math. Proc. Cambridge Philos. Soc. 165 (2018), no. 3, 511-532 arXiv:1705.03300 (coauthors A.McKee, A.Skalski, I.G.Todorov)

  6. The Shilov boundary for a q-analog of the holomorphic functions on the unit ball of 2 by 2 symmetric matrices, Operators and Matrices, 12 (2018), no. 1, 39--53. arXiv:1703.06405 (coauthor J.Johansson)

  7. Completely bounded bimodule maps and spectral synthesis, Inter. Journal of Math. 28, 1750067 (2017), (40p) arXiv:1701.00258 (coauthors M. Alaghmandan, I.G. Todorov)

  8. Tarnsference and preservation of uniqueness, to appear in Israel J. Math. arXiv:1609.03726 (coauthor I.G. Todorov)

  9. Reduced synthesis in harmonic analysis and compact synthesis in operator theory, (in Russian) Funktsional. Anal. i Prilozhen. 51 (2017), no. 3, 98--102; translation in Funct. Anal. Appl. 51 (2017), no. 3, 240--243 (coauthors V.S. Shulman, I.G. Todorov)

  10. Schur multipliers of Cartan pairs, Proc. Edinb. Math. Soc. (2) 60 (2017), no. 2, 413-440 (coauthors R.Levene, N.Spronk, I.Todorov).

  11. Shilov boundary for "holomorphic functions" on a quantum matrix ball, Algebra and Rep. Theory, 18 (2015), no.4, 917-929 (coauthor D.Proskurin).

  12. Sets of p-multiplicity in locally compact groups, Studia Math. 226 (2015), no.1, 75-93 (coauthor I.G.Todorov).

  13. Sets of multiplicity and closable multipliers on group algebras, J.Funct.Anal. 268 (2015), no.6, 1454-1508 (coauthors V.S.Shulman, I.G.Todorov).

  14. Local operator multipliers and positivity, J.Funct.Anal. 267 (2014), no.1, 80-111 (coauthors N.M.Steen, I.G.Todorov).

  15. On the structure of homogenenous Wick ideals in Wick *-algebras with braided coefficients, Rev. Math. Phys. 24 (2012), no. 4, 1250007, 20 pp (coauthors V.Ostrovskyi, D.Proskurin and Yu.Savchuk).

  16. Beurling-Fourier algebras on compact groups: spectral theory, J. Funct. Anal. 262 (2012), no. 2, 463-499 (coauthors J.Ludwig, N.Spronk).

  17. An elementary approach to elementary operators on B(H), Operator Theory:Advances and Applications 212, 115-132, 2011 (coauthor V.Shulman).

  18. Closable multipliers, Integral Equations and Operator Theory: Volume 69, Issue 1 (2011) (coauthors V.S.Shulman, I.G.Todorov).

  19. Schur and Operator multipliers, Banach Center Publications, 91 (2010) s. 385-410, (coauthor I.G. Todorov).

  20. On a C*-algebra of the Heisenberg Group and threadlike Lie groups, Mathematische Zeitschrift 268 (2011), no. 3-4, 897-930 (coauthor J. Ludwig).

  21. Multipliers of multidimensional Fourier algebras, Operators and Matrices, 4 ( 4 ) (2010) s. 459-484 (coauthor I.G.Todorov).

  22. Fixed points of holomorphic transformations of operator balls, Quaterly Journal of mathematics 62 (2011), no. 1, 173-187 (coauthors M.I.Ostrovskii and V.S. Shulman).

  23. Unitarazable representations and fixed points of groups of biholomorphic transformations of operator balls, J.Funct. Anal. 257 (2009), 2476-2496 (coauthors M.I.Ostrovskii, V.S.Shulman).

  24. Multidimensional Operator Multipliers, Trans. Amer. Math. Soc. 361 (2009), no. 9, 4683--4720 (couthors K.Jushchenko, I.Todorov).

  25. Compactness properties of operator multipliers, J. Funct. Anal. 256 (2009), no. 11, 3772--3805 (coauthors K.Juschenko, R.H.Levene, I.G.Todorov).

  26. Unbounded representations of q-deformation of Cuntz algebra, Lett. Math. Phys. 85 (2008), no. 2-3, 147--162. (coauthors V.Ostrovskyi, D.Proskurin).

  27. Beurling type theorems and elementary operators, J. Lond. Math. Soc. (2) 75 (2007), no. 2, 330--342 (coauthor V. Shulman).

  28. On C*-algebra of a semigroup of partial isometries, J. Funct. Anal. 251 (2007), no. 1, 210--231 (coauthor V.Ostrovskyi, S. Popovych).

  29. Extension of operator Lipschitz and commutator bounded functions. The extended field of operator theory, 225--244, Oper. Theory Adv. Appl., 171, Birkhäuser, Basel, 2007 (coauthors E.Kissin, V.Shulman).

  30. Growth and smooth spectral synthesis in the Fourier algebras of Lie groups. Studia Math. 176 (2006), no. 2, 139--158 (coauthor J. Ludwig).

  31. Operator synthesis II. Individual synthesis and linear operator equations, J.Reine Ang.Math 590 (2006), 143-181 (coauthor V.Shulman).

  32. On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups. J. Funct. Anal. 233 (2006), no. 1, 206--227 (coauthor J.Ludwig).

  33. On *-representations of a deformation of a Wick analogue of the CAR algebra. Rep. Math. Phys. 56 (2005), no. 2, 175--196 (coauthor S.Abeverio, D.Proskurin).

  34. On C*-algebras generated by some deformations of CAR relations. Noncommutative geometry and representation theory in mathematical physics, 297-312, Contemp. Math., 391, Amer. Math. Soc., Providence, RI, 2005.

  35. Operator synthesis I. Synthetic sets, bilattices and tensor algebra, J. Funct. Anal. 209 (2004), no. 2, 293--331 (coauthor V.Shulman).

  36. *-Representation type of *-doubles of finite-dimensional algebras, Proc. Edinburgh Math.Soc.(2) 47 (2004), no. 3, 669-678 (coauthor V.Mazorchuk).

  37. Radical *-doubles of finite-dimensional algebras, Lin.Algebra and Appl. 390 (2004) 293-309 (coauthor V.Mazorchuk).

  38. Spectral synthesis and operator synthesis for compact groups, J. London Math. Soc. (2) 66 (2002), no. 2, 361-376 (coauthor N.Spronk).

  39. Some associative algebras, related to U(g) and twisted generalized Weyl algebras, Math. Scand. 92 (2003), no. 1, 5-30 (coauthors V.Mazrochuk, M.Ponomarenko).

  40. On bound ed and unbounded idempotents whose sum is a multiple of the identity, Methods Funct. Anal. Topology 8 (2002), no. 1, 79--100 (coauthor Yu.Samoilenko).

  41. *-Representations of twisted generalized Weyl constructions, Algebr.Represent. Theory 5 (2002), no. 2, 163--186 (coauthor V.Mazorchuk).

  42. sigma-unitarizability of simple weight modules ,Proc. Int. Conf. on Open Systems and Information Processes,Vologda 2001 (coauthor V.Mazorchuk).

  43. Various faces of operator synthesis, Proc. Int. Conf. on Open Systems and Information Processes,Vologda 2001 (coauthor V.Shulman).

  44. Existence and unicity of sigma-forms on finite-dimensional modules, Meth.Funct.Anal.Top, 7 (2001), no.1 (coauthor V. Mazorchuk).

  45. On C*-algebra associated with Pol(Mat_{2,2})_q, Meth.Funct.Anal.Top, 7 (2001), no.1. (coauthor D. Proskurin).

  46. On representations of a q-analog of the *-algebra Pol(Mat_{2,2}), J.Phys.A: Math.Gen. 34 (2001) 1-8.

  47. Involutions on generalized Weyl algebras preserving the principal grading, Rep. Math. Phys. 48 (2001), no. 3, 343—351 (coauthor V.Mazorchuk).

  48. On complexity of description of representations of *-algebras by unbounded operators, Proc. Amer. Math. Soc. 130 (2002), no. 10, 3051—3065.

  49. On Gelfand-Zetlin modules over U_q(gl(n)), Czech. J. Phys. 50 (2000), 139-144 (coauthor V. Mazorchuk).

  50. Simple weight modules over twisted generalized Weyl algebras, Comm. Alg., 27, (1999), No. 6, 2613-2625 (coauthor V. Mazorchuk).

  51. Representations of the q-deformed Lie-algebra of the group of plane of Euclidean motions, Journal of Functional Analysis 160, (1998) No. 1, 79-114 (coauthor S. Silvestrov).

  52. Representations of a cubic deformation of su(2) and parasupersymmetric commutation relations Proceedings of the Second Int. Conference ``Symmetry in Nonlinear Mathematical Physics. Memorial Prof. Fushchych Conference'',Inst. Math. Nat. Acad. Sci. of Ukraine, 1997, vol. 2, 372-383 (coauthors Yu.S. Samoilenko, S. Popovich).

  53. Representations of double commutator by matrix-differential operators, Methods of Functional Analysis and Topology, 3, (1997) (coauthor L.P. Nizhnik).

  54. On *-representations of *-algebras by unbounded operators, Funkts. Anal. Prilozhen. 4,(1997), No. 31, 80-83 (coauthor Yu.S. Samoilenko).

  55. Semilinear relations and *-representations of deformations of so(3), Quantum Groups and Quantum Spaces, Banach Center Publications, 40, (1997), 21-40 (coauthor Yu.S. Samoilenko).

  56. Semilinear relations and their *-representations, Methods of Functional Analysis and Topology, 2 (1996), N 1, 52-107 (coauthor Yu.S. Samoilenko, V.S. Shulman).

  57. Representations of some real forms of U_q(sl(3)), Algebra, Groups and Geometries, (1995), N 12, 321-338.

  58. *-Representations of quantum algebra U_q(sl(3)), Journal Non. Math. Phys., 3 (1996), N 3,4, 396-401.

  59. Representations of *-algebras and multidimensional dynamical systems, Ukrain. Mat. Zh., 47 (1995), N 4, 488-497 (coauthor V.L.Ostrovskii).

  60. On *-representations of semilinear relations, Methods of Functional Analysis in Problems of Math. Phys., Inst. Math. Acad. Sci. Ukraine, Kiev, (1992), 97-108 (coauthor Yu.S.Samoilenko).

  61. Representations of one class of *-algebra with three generators, Applications of Methods of Functional Analysis in Math. Phys., Inst. Math. Acad. Sci. USSR, Kiev, (1991), 100-109 (in Russian) Kiev, (1992), 97-108 (coauthor Yu.S.Samoilenko).

Other publications:

  • Algebraic methods in functional analysis. The Victor Shulman anniversary volume. Proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, April 26–29, 2011. Edited by Ivan G. Todorov and Lyudmila Turowska. Operator Theory: Advances and Applications, 233. Birkhäuser/Springer, Basel, 2014. viii+294 pp.



 

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