This article is cited in 15 papers

Berezin Symbols and Schatten–von Neumann Classes

M. T. Karaev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: In terms of Berezin symbols, we give several criteria for operators to belong to the Schatten–von Neumann classes $\mathfrak S_p$. In particular, for functions of model operators, we give a complete answer to a question posed by Nordgren and Rosenthal.

UDC: 517.983

Received: 26.07.1999

DOI: 10.4213/mzm415

 English version: Mathematical Notes, 2002, 72:2, 185–192

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