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Berezin Symbols and Schatten--von Neumann Classes
Authors:Karaev  M T
Institution:(1) Institute for Mathematics and Mechanics, Azerbaijanian Academy of Sciences, Azerbaijan
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.
Keywords:Schatten--von Neumann class  Berezin symbol  reproducing kernel  Hilbert space
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