Рабанович Вячеслав Іванович
Публікації
Разом із співавторами написано 37 робіт. Серед них 26 наукових статей, 25 з яких пререкладено або подано до журналів одразу англійською мовою.
* Decomposition of a Hermitian Matrix into a Sum of Fixed Number of Orthogonal Projections. V.I. Rabanovich, Ukrainian Mathematical Journal 72 (5), 785-802, 2020.
*On a Class of Unitary Representations of the Braid Groups B3 and B4. S. Albeverio, S. Rabanovich, Bulletin des Sciences Mathématiques 153, 35-56, 2019.
* On new inverse spectral problems for weighted graphs, L.P. Nizhnik, V.I. Rabanovich, Methods of Functional Analysis and Topology 23 (01), 66-75, 2017.
* Each n-by-n matrix with n> 1 is a sum of 5 coninvolutory matrices, M.N.M. Abara, D.I. Merino, V.I. Rabanovich, V.V. Sergeichuk, J.P.S. Maria, Linear Algebra and its Applications 508, 246-254, 2016.
* On decompositions of a scalar operator into a sum of self-adjoint operators with finite spectrum. V.I. Rabanovych, Ukrainian Mathematical Journal 67 (5), 795-813, 2015.
* Про зв’язок мiж нормою суми ортопроекторiв на пiдпростори i нормою добутку ортопроекторiв на вiдповiднi ортогональнi доповнення. В.I. Рабанович, Збірник Праць Інституту математики НАН України 12 (1), 178-184, 2015.
* Some remarks on Hilbert representations of posets. V. Ostrovskyi, V. I. Rabanovych, Methods of Functional Analysis and Topology 20 (2), 149-163, 2014.
* Decomposition of a scalar operator into a product of unitary operators with two points in spectrum. S. Albeverio, S. Rabanovich, Linear algebra and its applications 433 (6), 1127-1137, 2010.
* On decompositions of the identity operator into a linear combination of orthogonal projections, A.A. Yusenko, V.I. Rabanovich Methods of Functional Analysis and Topology 16 (1), 57-68, 2010.
* Multicommutators and multianticommutators of orthogonal projections. V. Mazorchuk, S. Rabanovich, Linear and multilinear algebra 56 (6), 639-646, 2008.
* On the decomposition of a diagonal operator into a linear combination of idempotents or projectors. V.I. Rabanovych, Ukrainian Mathematical Journal 57 (3), 466-473, 2005.
* Every matrix is a linear combination of three idempotents. V. Rabanovich, Linear algebra and its applications 390, 137-143, 2004.
* On the identities in algebras generated by linearly connected idempotents. V.I. Rabanovich, Y.S. Samoilenko, A.V. Strelets, Ukrainian Mathematical Journal 56 (6), 929-946, 2004.
* When is a sum of partial reflections equal to a scalar operator? A.S. Mellit, V.I. Rabanovich, Yu.S. Samoilenko. Functional Analysis and Its Applications 38 (2), 157-160, 2004.
* On the decomposition of an operator into a sum of four idempotents. V.I. Rabanovych, Ukrainian Mathematical Journal 56 (3), 512-519, 2004.
* On Polynomial Identities in Algebras Generated by Idempotents and Their *-Representations. V.I. Rabanovich, A.V. Strelets, Proceedings of Institute of Mathematics of NAS of Ukraine 50 (3), 1179-1183, 2004.
* Decomposition of a scalar matrix into a sum of orthogonal projections. S. Kruglyak, V. Rabanovich, Yu. Samoilenko, Linear algebra and its applications 370, 217-225, 2003.
* On sums of projections. S.A. Kruglyak, V.I. Rabanovich, Y.S. Samoilenko, Functional Analysis and Its Applications 36 (3), 182-195, 2002.
* On identities in algebras Q n,lamda generated by idempotents, V.I. Rabanovich, Y.S. Samoilenko, A.V. Strelets, Ukrainian Mathematical Journal 53 (10), 1673-1687, 2001.
* Scalar operators representable as a sum of projectors. V.I. Rabanovich, Y.S. Samoilenko, Ukrainian Mathematical Journal 53 (07), 939-952, 2001.
* On the decomposition of the identity into a sum of idempotents. T. Ehrhardt, V. Rabanovich, Y. Samoilenko, B. Silbermann. Methods of Functional Analysis and Topology 7 (02), 1-6, 2001.
* When a Sum of Idempotents or Projections is a Multiple of the Identity. V.I. Rabanovich, Y.S. Samoilenko, Functional analysis and its applications 34 (4), 311-313, 2000.
* On Representations of Fn-algebras and Invertibility Symbols. S. Rabanovich, Yu. Samoilenko, Operator Theory and Related Topics, OT Adv. and Appl. 118, 347-357, 2000.
*Singly generated C*-algebras. V.I. Rabanovich, Ukrainian Mathematical Journal 58 (8), 1282-1290, 1999.
* On Representations of Fn-algebras and Invertibility Symbols. V. Rabanovich, Yu. Samoilenko, Methods of Functional Analysis and Topology 4 (04), 86-96, 1998.
* Banach algebras generated by three idempotents. V.I. Rabanovitch, Methods of Functional Analysis and Topology 4 (01), 65-67, 1998.
* Decomposition of a Hermitian Matrix into a Sum of Fixed Number of Orthogonal Projections. V.I. Rabanovich, Ukrainian Mathematical Journal 72 (5), 785-802, 2020.
*On a Class of Unitary Representations of the Braid Groups B3 and B4. S. Albeverio, S. Rabanovich, Bulletin des Sciences Mathématiques 153, 35-56, 2019.
* On new inverse spectral problems for weighted graphs, L.P. Nizhnik, V.I. Rabanovich, Methods of Functional Analysis and Topology 23 (01), 66-75, 2017.
* Each n-by-n matrix with n> 1 is a sum of 5 coninvolutory matrices, M.N.M. Abara, D.I. Merino, V.I. Rabanovich, V.V. Sergeichuk, J.P.S. Maria, Linear Algebra and its Applications 508, 246-254, 2016.
* On decompositions of a scalar operator into a sum of self-adjoint operators with finite spectrum. V.I. Rabanovych, Ukrainian Mathematical Journal 67 (5), 795-813, 2015.
* Про зв’язок мiж нормою суми ортопроекторiв на пiдпростори i нормою добутку ортопроекторiв на вiдповiднi ортогональнi доповнення. В.I. Рабанович, Збірник Праць Інституту математики НАН України 12 (1), 178-184, 2015.
* Some remarks on Hilbert representations of posets. V. Ostrovskyi, V. I. Rabanovych, Methods of Functional Analysis and Topology 20 (2), 149-163, 2014.
* Decomposition of a scalar operator into a product of unitary operators with two points in spectrum. S. Albeverio, S. Rabanovich, Linear algebra and its applications 433 (6), 1127-1137, 2010.
* On decompositions of the identity operator into a linear combination of orthogonal projections, A.A. Yusenko, V.I. Rabanovich Methods of Functional Analysis and Topology 16 (1), 57-68, 2010.
* Multicommutators and multianticommutators of orthogonal projections. V. Mazorchuk, S. Rabanovich, Linear and multilinear algebra 56 (6), 639-646, 2008.
* On the decomposition of a diagonal operator into a linear combination of idempotents or projectors. V.I. Rabanovych, Ukrainian Mathematical Journal 57 (3), 466-473, 2005.
* Every matrix is a linear combination of three idempotents. V. Rabanovich, Linear algebra and its applications 390, 137-143, 2004.
* On the identities in algebras generated by linearly connected idempotents. V.I. Rabanovich, Y.S. Samoilenko, A.V. Strelets, Ukrainian Mathematical Journal 56 (6), 929-946, 2004.
* When is a sum of partial reflections equal to a scalar operator? A.S. Mellit, V.I. Rabanovich, Yu.S. Samoilenko. Functional Analysis and Its Applications 38 (2), 157-160, 2004.
* On the decomposition of an operator into a sum of four idempotents. V.I. Rabanovych, Ukrainian Mathematical Journal 56 (3), 512-519, 2004.
* On Polynomial Identities in Algebras Generated by Idempotents and Their *-Representations. V.I. Rabanovich, A.V. Strelets, Proceedings of Institute of Mathematics of NAS of Ukraine 50 (3), 1179-1183, 2004.
* Decomposition of a scalar matrix into a sum of orthogonal projections. S. Kruglyak, V. Rabanovich, Yu. Samoilenko, Linear algebra and its applications 370, 217-225, 2003.
* On sums of projections. S.A. Kruglyak, V.I. Rabanovich, Y.S. Samoilenko, Functional Analysis and Its Applications 36 (3), 182-195, 2002.
* On identities in algebras Q n,lamda generated by idempotents, V.I. Rabanovich, Y.S. Samoilenko, A.V. Strelets, Ukrainian Mathematical Journal 53 (10), 1673-1687, 2001.
* Scalar operators representable as a sum of projectors. V.I. Rabanovich, Y.S. Samoilenko, Ukrainian Mathematical Journal 53 (07), 939-952, 2001.
* On the decomposition of the identity into a sum of idempotents. T. Ehrhardt, V. Rabanovich, Y. Samoilenko, B. Silbermann. Methods of Functional Analysis and Topology 7 (02), 1-6, 2001.
* When a Sum of Idempotents or Projections is a Multiple of the Identity. V.I. Rabanovich, Y.S. Samoilenko, Functional analysis and its applications 34 (4), 311-313, 2000.
* On Representations of Fn-algebras and Invertibility Symbols. S. Rabanovich, Yu. Samoilenko, Operator Theory and Related Topics, OT Adv. and Appl. 118, 347-357, 2000.
*Singly generated C*-algebras. V.I. Rabanovich, Ukrainian Mathematical Journal 58 (8), 1282-1290, 1999.
* On Representations of Fn-algebras and Invertibility Symbols. V. Rabanovich, Yu. Samoilenko, Methods of Functional Analysis and Topology 4 (04), 86-96, 1998.
* Banach algebras generated by three idempotents. V.I. Rabanovitch, Methods of Functional Analysis and Topology 4 (01), 65-67, 1998.