Ostrovskyi Vasyl
Publications
V Ostrovskyi, D Yakymenko. Geometric properties of SIC-POVM tensor square. arXiv preprint arXiv:1911.05437. link
A Kuzmin, V Ostrovskyi, D Proskurin, R Yakymiv. On -tensor product of Cuntz algebras. arXiv preprint arXiv:1812.08530 link
Ashurova, E.N., Ostrovskyi, V.L., Samoilenko, Yu.S. On representations of the algebras generated by a finite resolution of the identity and a collection of jointly orthogonal projections. Dopov. Nac. akad. nauk Ukr. 2017, 10:3-9 DOI
Ostrovskyi, V. ; Samoilenko, Yu. Introduction to the theory of representations of finitely presented *-algebras. I. Representations by bounded operators.
Second edition.
Reviews in Mathematics and Mathematical Physics, 15/2. Cambridge Scientific Publishers, Cambridge, 2014. xi+261 pp. ISBN: 978-1-908106-32-2
Ashurova, E. N. and Ostrovskyi, V. L. (2015) On representations of ``all but two'' algebras. In: Spectral theory of operators and collections of operators. Ins. math. NAS of Ukraine, Kyiv, pp. 8-21.
Ostrovskyi, V. and Rabanovich, S. (2014) Some remarks on Hilbert representations of posets. Methods Funct. Anal. Topology, 20 (2). pp. 149-163.
Ostrovskyi, Vasyl and Schm?dgen, Konrad (2014) A resolvent approach to the real quantum plane. Integral Equations Operator Theory, 79 (4). pp. 451-476.
Ostrovskii, V. L. (2013) On pairs of operators connected by a quadratic relation. Funktsional. Anal. i Prilozhen., 47 (1). pp. 82-87.
Муратов, М. А. and Островский, В. Л. and Самойленко, Ю. С. (2012) Конечномерный линейный анализ. I. Линейные операторы в конечномерных гильбертовых (унитарных) пространствах (H): Учебное пособие. Центр учебной литературы, Киев.
Ostrovskyi, Vasyl and Proskurin, Daniil and Savchuk, Yurii and Turowska, Lyudmila (2012) On the structure of homogenenous Wick ideals in Wick ∗∗-algebras with braided coefficients. Rev. Math. Phys., 24 (4). p. 1250007.
Ostrovskyi, V. L. and Proskurin, D. P. and Yakymiv, R. Y. (2012) Representations of relations with orthogonality condition and their deformations. Methods Funct. Anal. Topology, 18 (4). pp. 373-386.
Муратов, М. А. and Островский, В. Л. and Самойленко, Ю. С. (2011) Конечномерный линейный анализ I. Линейные операторы в конечномерных векторных пространствах (L): Учебное пособие. Центр учебной литературы, Киев.
Ostrovskyi, Vasyl and Proskurin, Daniil and Turowska, Lyudmila (2008) Unbounded representations of qq-deformation of Cuntz algebra. Lett. Math. Phys., 85 (2-3). pp. 147-162.
Ostrovskyi, Vasyl and Popovych, Stanislav and Turowska, Lyudmila (2007) On C∗C∗-algebra of a semigroup of partial isometries. J. Funct. Anal., 251 (1). pp. 210-231.
Albeverio, Sergio and Ostrovskyi, Vasyl and Samoilenko, Yurii (2007) On functions on graphs and representations of a certain class of ∗∗-algebras. J. Algebra, 308 (2). pp. 567-582.
Moskaleva, Yulia and Ostrovskyi, Vasyl and Yusenko, Kostyantyn (2007) On quadruples of linearly connected projections and transitive systems of subspaces. Methods Funct. Anal. Topology, 13 (1). pp. 43-49.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (2006) On spectral theorems for families of linearly connected selfadjoint operators with prescribed spectra associated with extended Dynkin graphs. Ukrain. Mat. Zh., 58 (11). pp. 1556-1570.
Ostrovskyi, Vasyl (2005) On ∗∗-representations of a certain class of algebras related to a graph. Methods Funct. Anal. Topology, 11 (3). pp. 250-256.
Островський, В. Л. (2004) Зображення операторних співвідношень. Doct. дис., Інститут математики НАН України.
Ostrovskyi, Vasyl (2004) Centered one-parameter semigroups. Methods Funct. Anal. Topology, 10 (2). pp. 32-42.
Bratteli, Ola and Jorgensen, Palle E. T. and Ostrovskyi, Vasyl (2004) Representation theory and numerical AF-invariants. The representations and centralizers of certain states on OdOd. Mem. Amer. Math. Soc., 168 (797). xviii+178.
Ostrovskyi, V. L. (2004) Representations of an algebra associated with the Dynkin graph E~7E~7. Ukrain. Mat. Zh., 56 (9). pp. 1193-1202.
Ostrovskyi, Vasyl (2000) On double commutator relation. Methods Funct. Anal. Topology, 6 (2). pp. 60-65.
Ostrovskyi, Vasyl and Proskurin, Daniil (2000) Operator relations, dynamical systems, and representations of a class of Wick algebras. In: Operator theory and related topics, Vol. II (Odessa, 1997). Oper. Theory Adv. Appl., 118 . Birkh?user, Basel, pp. 335-345.
Ostrovskyi, V. and Samoilenko, Yu. (1999) Introduction to the theory of representations of finitely presented ∗∗-algebras. I. Representations by bounded operators. Reviews in Mathematics and Mathematical Physics, 11 (1). Harwood Academic Publishers, Amsterdam, iv+261. ISBN 90-5823-042-2
Ostrovskyi, Vasyl (1996) On operator relations, centered operators, and nonbijective dynamical systems. Methods Funct. Anal. Topology, 2 (3-4). pp. 114-121.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1996) On representations of ∗∗-algebras in mathematical physics. J. Nonlinear Math. Phys., 3 (1-2). pp. 160-163.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) On representations of the Heisenberg relations for the quantum E(2)E(2) group. Ukrain. Mat. Zh., 47 (5). pp. 689-692.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) Representations of ∗∗-algebras and dynamical systems. J. Nonlinear Math. Phys., 2 (2). pp. 133-150.
Ostrovskii, V. L. and Turovskaya, L. B. (1995) Representations of ∗∗-algebras, and multidimensional dynamical systems. Ukrain. Mat. Zh., 47 (4). pp. 488-497.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) Representations of quadratic ∗∗-algebras by bounded and unbounded operators. Rep. Math. Phys., 35 (2-3). pp. 283-301.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) Representations of quadratic ∗∗-algebras with two generators. In: Spectral and evolutional problems. Simferopol. Gos. Univ., Simferopol, pp. 15-28.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1993) On pairs of selfadjoint operators. Sem. Sophus Lie, 3 (2). pp. 185-218.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1993) On pairs of unbounded selfadjoint operators associated with an algebraic relation. Ukrain. Mat. Zh., 45 (9). pp. 1253-1258.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1993) Pairs of bounded selfadjoint operators connected by a quadratic relation. In: Mathematics today. ``Vishcha Shkola'', Kiev, pp. 98-114.
Ostrovskii, V. L. (1993) Representations of a family of quadratic algebras with three generators. Selecta Math. Soviet., 12 (2). pp. 119-127.
Ostrovskii, V. L. and Silvestrov, S. D. (1992) Representations of real forms of the graded analogue of a Lie algebra. Ukrain. Mat. Zh., 44 (11). pp. 1518-1524.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1992) Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation. In: Representation theory and dynamical systems. Adv. Soviet Math., 9 . Amer. Math. Soc., Providence, RI, pp. 131-149.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1991) Structure theorems for a pair of unbounded selfadjoint operators satisfying quadratic relation. Akad. Nauk Ukrain. SSR Inst. Mat. Preprint (4). pp. 1-25.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1989) Families of unbounded selfadjoint operators that are connected by non-Lie relations. Funktsional. Anal. i Prilozhen., 23 (2). pp. 67-68.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1989) Representation of ∗∗-algebras with two generators and polynomial relations. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 172 (Differ). 121-129, 171.
Ostrovskii, V. L. (1989) Representations of a family of quadratic algebras with three generators. In: Application of the methods of functional analysis in mathematical physics (Russian). Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, pp. 94-103.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1989) Unbounded operators satisfying non-Lie commutation relations. Rep. Math. Phys., 28 (1). pp. 91-104.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1988) Application of the projection spectral theorem to noncommuting families of operators. Ukrain. Mat. Zh., 40 (4). pp. 469-481.
Berezanskii, Yu. M. and Ostrovskii, V. L. and Samoilenko, Yu. S. (1988) Expansion in eigenfunctions of families of commuting operators, and representations of commutation relations. Ukrain. Mat. Zh., 40 (1). pp. 106-109.
Ostrovskii, V. L. (1988) A structure theorem for a pair of unbounded selfadjoint operators connected with a quadratic relation. In: Boundary value problems for differential equations (Russian). Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, pp. 89-91.
Ostrovskii, V. L. (1986) Construction of quasi-invariant measures on a class of groups that are not locally compact. Ukrain. Mat. Zh., 38 (4). pp. 524-526.
Ostrovskii, V. L. (1986) Irreducible representations of a group of infinite upper triangular matrices. Ukrain. Mat. Zh., 38 (2). 255-259, 272.
Ostrovskii, V. L. (1984) An analogue of Nelson's theorem for nuclear nilpotent Lie algebras of currents. In: Spectral theory of operators and infinite-dimensional analysis. Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, pp. 120-131.
A Kuzmin, V Ostrovskyi, D Proskurin, R Yakymiv. On -tensor product of Cuntz algebras. arXiv preprint arXiv:1812.08530 link
Ashurova, E.N., Ostrovskyi, V.L., Samoilenko, Yu.S. On representations of the algebras generated by a finite resolution of the identity and a collection of jointly orthogonal projections. Dopov. Nac. akad. nauk Ukr. 2017, 10:3-9 DOI
Ostrovskyi, V. ; Samoilenko, Yu. Introduction to the theory of representations of finitely presented *-algebras. I. Representations by bounded operators.
Second edition.
Reviews in Mathematics and Mathematical Physics, 15/2. Cambridge Scientific Publishers, Cambridge, 2014. xi+261 pp. ISBN: 978-1-908106-32-2
Ashurova, E. N. and Ostrovskyi, V. L. (2015) On representations of ``all but two'' algebras. In: Spectral theory of operators and collections of operators. Ins. math. NAS of Ukraine, Kyiv, pp. 8-21.
Ostrovskyi, V. and Rabanovich, S. (2014) Some remarks on Hilbert representations of posets. Methods Funct. Anal. Topology, 20 (2). pp. 149-163.
Ostrovskyi, Vasyl and Schm?dgen, Konrad (2014) A resolvent approach to the real quantum plane. Integral Equations Operator Theory, 79 (4). pp. 451-476.
Ostrovskii, V. L. (2013) On pairs of operators connected by a quadratic relation. Funktsional. Anal. i Prilozhen., 47 (1). pp. 82-87.
Муратов, М. А. and Островский, В. Л. and Самойленко, Ю. С. (2012) Конечномерный линейный анализ. I. Линейные операторы в конечномерных гильбертовых (унитарных) пространствах (H): Учебное пособие. Центр учебной литературы, Киев.
Ostrovskyi, Vasyl and Proskurin, Daniil and Savchuk, Yurii and Turowska, Lyudmila (2012) On the structure of homogenenous Wick ideals in Wick ∗∗-algebras with braided coefficients. Rev. Math. Phys., 24 (4). p. 1250007.
Ostrovskyi, V. L. and Proskurin, D. P. and Yakymiv, R. Y. (2012) Representations of relations with orthogonality condition and their deformations. Methods Funct. Anal. Topology, 18 (4). pp. 373-386.
Муратов, М. А. and Островский, В. Л. and Самойленко, Ю. С. (2011) Конечномерный линейный анализ I. Линейные операторы в конечномерных векторных пространствах (L): Учебное пособие. Центр учебной литературы, Киев.
Ostrovskyi, Vasyl and Proskurin, Daniil and Turowska, Lyudmila (2008) Unbounded representations of qq-deformation of Cuntz algebra. Lett. Math. Phys., 85 (2-3). pp. 147-162.
Ostrovskyi, Vasyl and Popovych, Stanislav and Turowska, Lyudmila (2007) On C∗C∗-algebra of a semigroup of partial isometries. J. Funct. Anal., 251 (1). pp. 210-231.
Albeverio, Sergio and Ostrovskyi, Vasyl and Samoilenko, Yurii (2007) On functions on graphs and representations of a certain class of ∗∗-algebras. J. Algebra, 308 (2). pp. 567-582.
Moskaleva, Yulia and Ostrovskyi, Vasyl and Yusenko, Kostyantyn (2007) On quadruples of linearly connected projections and transitive systems of subspaces. Methods Funct. Anal. Topology, 13 (1). pp. 43-49.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (2006) On spectral theorems for families of linearly connected selfadjoint operators with prescribed spectra associated with extended Dynkin graphs. Ukrain. Mat. Zh., 58 (11). pp. 1556-1570.
Ostrovskyi, Vasyl (2005) On ∗∗-representations of a certain class of algebras related to a graph. Methods Funct. Anal. Topology, 11 (3). pp. 250-256.
Островський, В. Л. (2004) Зображення операторних співвідношень. Doct. дис., Інститут математики НАН України.
Ostrovskyi, Vasyl (2004) Centered one-parameter semigroups. Methods Funct. Anal. Topology, 10 (2). pp. 32-42.
Bratteli, Ola and Jorgensen, Palle E. T. and Ostrovskyi, Vasyl (2004) Representation theory and numerical AF-invariants. The representations and centralizers of certain states on OdOd. Mem. Amer. Math. Soc., 168 (797). xviii+178.
Ostrovskyi, V. L. (2004) Representations of an algebra associated with the Dynkin graph E~7E~7. Ukrain. Mat. Zh., 56 (9). pp. 1193-1202.
Ostrovskyi, Vasyl (2000) On double commutator relation. Methods Funct. Anal. Topology, 6 (2). pp. 60-65.
Ostrovskyi, Vasyl and Proskurin, Daniil (2000) Operator relations, dynamical systems, and representations of a class of Wick algebras. In: Operator theory and related topics, Vol. II (Odessa, 1997). Oper. Theory Adv. Appl., 118 . Birkh?user, Basel, pp. 335-345.
Ostrovskyi, V. and Samoilenko, Yu. (1999) Introduction to the theory of representations of finitely presented ∗∗-algebras. I. Representations by bounded operators. Reviews in Mathematics and Mathematical Physics, 11 (1). Harwood Academic Publishers, Amsterdam, iv+261. ISBN 90-5823-042-2
Ostrovskyi, Vasyl (1996) On operator relations, centered operators, and nonbijective dynamical systems. Methods Funct. Anal. Topology, 2 (3-4). pp. 114-121.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1996) On representations of ∗∗-algebras in mathematical physics. J. Nonlinear Math. Phys., 3 (1-2). pp. 160-163.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) On representations of the Heisenberg relations for the quantum E(2)E(2) group. Ukrain. Mat. Zh., 47 (5). pp. 689-692.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) Representations of ∗∗-algebras and dynamical systems. J. Nonlinear Math. Phys., 2 (2). pp. 133-150.
Ostrovskii, V. L. and Turovskaya, L. B. (1995) Representations of ∗∗-algebras, and multidimensional dynamical systems. Ukrain. Mat. Zh., 47 (4). pp. 488-497.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) Representations of quadratic ∗∗-algebras by bounded and unbounded operators. Rep. Math. Phys., 35 (2-3). pp. 283-301.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1995) Representations of quadratic ∗∗-algebras with two generators. In: Spectral and evolutional problems. Simferopol. Gos. Univ., Simferopol, pp. 15-28.
Ostrovskyi, V. L. and Samoilenko, Yu. S. (1993) On pairs of selfadjoint operators. Sem. Sophus Lie, 3 (2). pp. 185-218.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1993) On pairs of unbounded selfadjoint operators associated with an algebraic relation. Ukrain. Mat. Zh., 45 (9). pp. 1253-1258.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1993) Pairs of bounded selfadjoint operators connected by a quadratic relation. In: Mathematics today. ``Vishcha Shkola'', Kiev, pp. 98-114.
Ostrovskii, V. L. (1993) Representations of a family of quadratic algebras with three generators. Selecta Math. Soviet., 12 (2). pp. 119-127.
Ostrovskii, V. L. and Silvestrov, S. D. (1992) Representations of real forms of the graded analogue of a Lie algebra. Ukrain. Mat. Zh., 44 (11). pp. 1518-1524.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1992) Structure theorems for a pair of unbounded selfadjoint operators satisfying a quadratic relation. In: Representation theory and dynamical systems. Adv. Soviet Math., 9 . Amer. Math. Soc., Providence, RI, pp. 131-149.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1991) Structure theorems for a pair of unbounded selfadjoint operators satisfying quadratic relation. Akad. Nauk Ukrain. SSR Inst. Mat. Preprint (4). pp. 1-25.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1989) Families of unbounded selfadjoint operators that are connected by non-Lie relations. Funktsional. Anal. i Prilozhen., 23 (2). pp. 67-68.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1989) Representation of ∗∗-algebras with two generators and polynomial relations. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 172 (Differ). 121-129, 171.
Ostrovskii, V. L. (1989) Representations of a family of quadratic algebras with three generators. In: Application of the methods of functional analysis in mathematical physics (Russian). Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, pp. 94-103.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1989) Unbounded operators satisfying non-Lie commutation relations. Rep. Math. Phys., 28 (1). pp. 91-104.
Ostrovskii, V. L. and Samoilenko, Yu. S. (1988) Application of the projection spectral theorem to noncommuting families of operators. Ukrain. Mat. Zh., 40 (4). pp. 469-481.
Berezanskii, Yu. M. and Ostrovskii, V. L. and Samoilenko, Yu. S. (1988) Expansion in eigenfunctions of families of commuting operators, and representations of commutation relations. Ukrain. Mat. Zh., 40 (1). pp. 106-109.
Ostrovskii, V. L. (1988) A structure theorem for a pair of unbounded selfadjoint operators connected with a quadratic relation. In: Boundary value problems for differential equations (Russian). Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, pp. 89-91.
Ostrovskii, V. L. (1986) Construction of quasi-invariant measures on a class of groups that are not locally compact. Ukrain. Mat. Zh., 38 (4). pp. 524-526.
Ostrovskii, V. L. (1986) Irreducible representations of a group of infinite upper triangular matrices. Ukrain. Mat. Zh., 38 (2). 255-259, 272.
Ostrovskii, V. L. (1984) An analogue of Nelson's theorem for nuclear nilpotent Lie algebras of currents. In: Spectral theory of operators and infinite-dimensional analysis. Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, pp. 120-131.