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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

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

This article is cited in 2 papers

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.

UDC: 517.983.243, 517.984.4

Received: 03.02.2006

DOI: 10.4213/faa2871


 English version:
Functional Analysis and Its Applications, 2007, 41:3, 245–246

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