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Berezin Symbols and Schatten--von Neumann Classes

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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.

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Karaev, M.T. Berezin Symbols and Schatten--von Neumann Classes. Mathematical Notes 72, 185–192 (2002). https://doi.org/10.1023/A:1019893710815

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