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Skew-symmetric and essentially unitary operators via Berezin symbols

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AbstractWe characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols. We also studied essentially unitary operators via Berezin symbols.
Title: Skew-symmetric and essentially unitary operators via Berezin symbols
Description:
AbstractWe characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols.
The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
We also studied essentially unitary operators via Berezin symbols.

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