Rabanovych Viacheslav Ivanovych
Publications
I have 37 papers. Among them 26 research articles listed below. They are all except one (Proc. 2015) appeared in English.
* 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.
* On a relation between the norm of sum of orthoprojections onto subspaces and the norm of product of corresponding orthoprojections onto orthogonal compliments of the subspaces. V. I. Rabanovych, Proceedings of Institute of Mathematics of NAS of Ukraine 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.
* On a relation between the norm of sum of orthoprojections onto subspaces and the norm of product of corresponding orthoprojections onto orthogonal compliments of the subspaces. V. I. Rabanovych, Proceedings of Institute of Mathematics of NAS of Ukraine 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.