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Funktsional. Anal. i Prilozhen., 2007, Volume 41, Issue 3, Pages 93–95 (Mi faa2871)  

Brief communications

On Convergence of Functions of Normal Operators in Strong Operator Topology

O. E. Tikhonov

Kazan State University

Abstract: The theorem in [E. B. Davies, J. London Math. Soc. (2), 4, 435–436 (1972)] is extended. As a corollary, Kadison's theorem on strong continuity of operator functions is refined.

Keywords: normal operator, operator function, strong operator topology

DOI: https://doi.org/10.4213/faa2871

Full text: PDF file (148 kB)
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English version:
Functional Analysis and Its Applications, 2007, 41:3, 245–246

Bibliographic databases:

UDC: 517.983.243, 517.984.4
Received: 03.02.2006

Citation: O. E. Tikhonov, “On Convergence of Functions of Normal Operators in Strong Operator Topology”, Funktsional. Anal. i Prilozhen., 41:3 (2007), 93–95; Funct. Anal. Appl., 41:3 (2007), 245–246

Citation in format AMSBIB
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