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On the Berezin symbol. (English. Russian original) Zbl 1025.47015

J. Math. Sci., New York 115, No. 2, 2135-2140 (2003); translation from Zap. Nauchn. Semin. POMI 270, 80-89 (2000).
Summary: We discuss some questions related to the Berezin symbols of bounded linear operators on Hilbert function spaces.

MSC:

47B32 Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)
46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
47A15 Invariant subspaces of linear operators
47B07 Linear operators defined by compactness properties
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