Curriculum Vitae

Lyudmila Turowska


Department of Mathematical Sciences
Chalmers University of Technology and University of Gothenburg
SE-412 96 Göteborg, Sweden
turowska@chalmers.se


Education

  • 1988--1993 student at the Kiev University, Department of Mechanics and Mathematics

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  • 1993--1996 graduate student at the Institute of Mathematics of the National Academy of Sciences of Ukraine

  •                         Advisor: Professor Yu. S. Samoilenko
                            Ph.D. in Mathematics, June 1996
                            Dissertation title: Representations of Involutive Algebras and Relations

    Employment History

  • 1996 Post-Doctoral position at the Mittag-Leffler Institute

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  • 1997 Assistant Researcher  at KTH, the Royal Institute of Technology, Stockholm,

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  • 1998 guest-researcher at the Chalmers University of Technology, Göteborg

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  • 1999-2003 Research Assistant Professor at the Chalmers University of Technology, Göteborg

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  • 2003-2006 Associate Professor at the Chalmers University of Technology, Göteborg

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  • since 2006 Professor at the Chalmers University of Technology, Göteborg
  • Research Interest

    Representation Theory, Operator Theory, Operator Algebras, Abstract Harmonic Analysis

    List of Publications

  • V.S. Shulman, L.Turowska An elementary approach to elementary operators on B(H),

  •        to appear in ElOp2009 Proceedings pdf
     
  • V.S. Shulman, I.G. Todorov, L.Turowska Closable Multipliers,

  •        to appear in Integral Equations Operator Theory pdf
     
  • I.G. Todorov, L.Turowska Schur and operator multipliers,

  •        to appear in Banach Center Publications pdf
     
  • J.Ludwig, L.Turowska On a $C^*$-algebra of the Heisenberg group and thread-like Lie groups,

  •        to appear in Mathematische Zeitschrift pdf
     
  • M.I. Ostrovskii, V.S. Shulman, L.Turowska Fixed points of holomorphic transformations of operator balls

  •        to appear in Quaterly Journal of mathematics pdf
     
  • M.I. Ostrovskii, V.S. Shulman, L.Turowska Unitarizable representations and fixed points of groups of biholomorphic transformations of operator balls

  •        J.Funct. Anal. 257 (2009), 2476-2496
     
  • K. Juschenko, R.H. Levene, I.G.Todorov, L.Turowska Compactness properties of operator multipliers

  •        J. Funct. Anal. 256 (2009), no. 11, 3772--3805
     
  • K. Juschenko, I.G.Todorov, L.Turowska Multidimensional operator multipliers

  •        Trans. Amer. Math. Soc. 361 (2009), no. 9, 4683--4720.
     
  • Ostrovskyi, Vasyl; Proskurin Daniel; Turowska, Lyudmila Unbounded representations of q-deformation of Cuntz algebra

  •        Lett. Math. Phys. 85 (2008), no. 2-3, 147--162
     
  • Ostrovskyi, Vasyl; Popovych, Stanislav; Turowska, Lyudmila On C*-algebra of a semigroup of partial isometries

  •        J. Funct. Anal. 251 (2007), no. 1, 210--231.
     
  • Ludwig, Jean; Turowska, Lyudmila Growth and smooth spectral synthesis in the Fourier algebras of Lie groups

  •        Studia Math. 176 (2006), no. 2, 139--158.
     
  • V.Shulman and L.Turowska Beurling-Pollard type theorems

  •        J. Lond. Math. Soc. (2) 75 (2007), no. 2, 330--342.
     
  • V.Shulman and L.Turowska Operator synthesis II. Individual synthesis and linear operator equations

  •        J. Reine Angew. Math. 590 (2006), 143--187
     
  • J.Ludwig and L.Turowska On the connection between sets of operator synthesis and sets of spectral synthesis

  •        J. Funct. Anal. 233 (2006), no. 1, 206--227.
     
  • Proskurin, Daniil; Savchuk, YuriÄ­; Turowska, Lyudmila 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.
     
  • Albeverio, Sergio; Proskurin, Daniil; Turowska, Lyudmila On *-representations of a deformation of a Wick analogue of the CAR algebra

  •        Rep. Math. Phys. 56 (2005), no. 2, 175--196.
     
  • S.Popovych and L.Turowska Unitarizable and non-unitarizable representations of algebras generated by idempotents

  •        Algebra Discrete Math. 2004, no. 3, 111--125
     
  • V.Shulman and L.Turowska Operator synthesis I. Synthetic sets, bilattices and tensor algebras

  •        J. Funct. Anal. 209 (2004), no. 2, 293--331
     
  • V.Mazorchuk and L.Turowska Radical $*$-doubles of finite-dimensional algebras

  •        Lin.Algebra and Appl. 390 (2004) 293-309
     
  • V.Mazorchuk and L.Turowska *-Representation type of *-doubles of finite-dimensional algebras

  •        Proc. Edinburgh Math.Soc.(2004) 47, 669-678.
     
  • Yu. Samoilenko and L.Turowska On bounded and unbounded idempotents whose sum is a multiple of the identity,

  •       Methods Funct. Anal. Topology 8 (2002), no. 1, 79--100.  dvi   pdf
     
  • N.Spronk and L.Turowska  Spectral synthesis and operator synthesis for compact groups,

  •       J. London Math. Soc. (2) 66 (2002), no. 2, 361--376
     
  • V.Mazorchuk and L.Turowska $\sigma$-unitarizability of simple weight modules,

  •        Proc. Int. Conf. on Open Systems and Information Processes, Vologda, 2001,  dvi  pdf
     
  • V. Shulman and L.Turowska  Various faces of operator synthesis,

  •         Proc. Int. Conf. on Open Systems and Information Processes, Vologda, 2001,  dvi  pdf
     
  • V. Mazorchuk and L.Turowska Existence and unicity of $\sigma$-forms on finite-dimensional modules,

  •         Meth.Funct.Anal.Top., 7 (2001), no. 1, 53-62.  dvi   pdf
     
  • D. Proskurin and L.Turowska On C^*-algebra associated with Pol(Mat_{2,2})_q,

  •          Meth.Funct.Anal.Top., 7 (2001), no. 1, 88-92.
     
  •  V. Mazorchuk , M.Ponomarenko and L.Turowska Some associative algebras related to U(g) and twisted generalized Weyl algebras,

  •           Math. Scand. 92 (2003), no. 1, 5--30.  dvi  pdf
     
  •  V.Mazorchuk and L.Turowska  Involutions on generalized Weyl algebras preserving the principal grading.

  •           Rep. Math. Phys. 48 (2001), no. 3, 343--351..  dvi  pdf
     
  • L.Turowska On complexity of description of representations of *-algebras by unbounded operators

  •        Proc. Amer. Math. Soc. 130 (2002), no. 10, 3051--306.  dvi  pdf
     
  • L.Turowska On representations of a q-analog of the *-algebra Pol(Mat_{2,2})

  •        J.Phys.A:math.Gen. 34 (2001) 1-8.
     
  • V.Mazorchuk and L.Turowska On Gelfand-Zetlin modules over U_q(gl(n))

  •        Czech. J. Phys. 2000
     
  • V.Mazorchuk and L.Turowska Simple weight modules over twisted generalized Weyl algebras

  •        Communication in Algebra,  27, (1999), No. 6, 2613-2625.
     
  • S.Silvetrov and L.Turowska Representations of the q-deformed Lie-algebra of the group of plain of Euclidean motions

  •        Journal of Functional Analysis, 160, (1998) No. 1, 79-114
     
  • V.Mazorchuk and L.Turowska *-Representations of twisted generalized Weyl constructions

  •        Algebr.Represent. Theory 5 (2002), no. 2, 163--186
     
  • Yu.S.Samoilenko, L.Turowska and  S.Popovich

  •        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
     
  • L.P.Nizhnik and L.Turowska Representations of double commutator by matrix-differential operators

  •        Methods of Functional Analysis and Topology,  3, (1997)
     
  • Yu.S.Samoilenko and L.Turowska On *-representations of *-algebras by unbounded operators

  •        Funkts. Anal. Prilozhen.  4,(1997), No. 31, 80-83
     
  • Yu.S.Samoilenko and L.Turowska Semilinear relations and *-representations of deformations of so(3)

  •        Quantum Groups and Quantum Spaces, Banach Center Publications, 40, (1997), 21-40
     
  • Yu.S.Samoilenko, V.S.Shulman and L.Turowska Semilinear relations and their *-representations

  •        Methods of Functional Analysis and Topology,  2 (1996), No 1, 52-107
     
  • V.L.Ostrovskii and L.Turowska On unbounded centred operators

  •        International Workshop on Operator Theory and Aplications, Book of Abstracts, (1995), 54-55
     
  • L.Turowska *-Representations of quantum algebra U_q(sl(3))

  •        Journal Non. Math. Phys.,  3 (1996), No 3,4, 396-401
     
  • L.Turowska Representations of some real forms of U_q(sl(3))

  •        Algebra, Groups and Geometries, (1995), No 12, 321-338
     
  • V.L.Ostrovskii and L.Turowska Representations of *-algebras and multidimensional dynamical systems

  •        Ukrain. Mat. Zh.,  47 (1995), No 4, 488-497
     
  • Yu.S.Samoilenko and L.Turowska  On *-representations of semilinear relations

  •        Methods of Functional Analysis in Problems of Math. Phys.,
           Inst. Math. Acad. Sci. Ukraine, Kiev, (1992), 97-108
     
  • L.Turowska 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