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Matematicheskie Zametki, 2015, Volume 98, Issue 4, Pages 483–497
DOI: https://doi.org/10.4213/mzm10823 (Mi mzm10823) 		 
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
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DOI: https://doi.org/10.4213/mzm10823
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
English version:
Mathematical Notes, 2015, Volume 98, Issue 4, Pages 537–549
DOI: https://doi.org/10.1134/S0001434615090229
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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