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This article is cited in 2 scientific papers (total in 2 papers)
Fuglede–Putnam Theorem in Algebras with Involutions
M. V. Ahramovicha, M. A. Muratova, V. S. Shulmanb a Taurida Academy, V. I. Vernadsky Crimea Federal University
b Vologda State University
Abstract:
The validity of the analogs of the Fuglede–Putnam theorem in the algebra $(\mathcal B(H),\star)$ of bounded operators acting on a Hilbert space $H$ with an arbitrary involution $\star$ is considered, together with the same problem in certain $*$-subalgebras of these algebras and in related constructions. The results obtained in this way are used to solve stability problems for “Fuglede” classes with respect to extensions and to the operation of tensor products.
Keywords:
Fuglede–Putnam theorem, algebra of bounded operators on a Hilbert space, tensor products of classes of operators.
Received: 23.03.2015 Revised: 05.04.2015
Citation:
M. V. Ahramovich, M. A. Muratov, V. S. Shulman, “Fuglede–Putnam Theorem in Algebras with Involutions”, Mat. Zametki, 98:4 (2015), 483–497; Math. Notes, 98:4 (2015), 537–549
Linking options:
https://www.mathnet.ru/eng/mzm10823https://doi.org/10.4213/mzm10823 https://www.mathnet.ru/eng/mzm/v98/i4/p483
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Abstract page: | 468 | Full-text PDF : | 163 | References: | 56 | First page: | 51 |
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