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Skew-symmetric and essentially unitary operators via Berezin symbols
Journal article   Open access  Peer reviewed

Skew-symmetric and essentially unitary operators via Berezin symbols

Najla Altwaijry, Mubariz Garayev, Hocine Guediri and Amani Baazeem
Open mathematics (Warsaw, Poland), Vol.18(1), pp.1760-1770
31/12/2020
DOI: https://doi.org/10.1515/math-2020-0117

Abstract

47A58 47B32 Berezin symbol composition operator essentially unitary operator reproducing kernel Hilbert space skew-symmetric operator
We 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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https://doi.org/10.1515/math-2020-0117View
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