Skew-symmetric and essentially unitary operators via Berezin symbols

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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Veröffentlicht in:	Open mathematics (Warsaw, Poland) Poland), 2020-12, Vol.18 (1), p.1760-1770
Hauptverfasser:	Altwaijry, Najla, Garayev, Mubariz, Guediri, Hocine, Baazeem, Amani
Format:	Artikel
Sprache:	eng
Schlagworte:	47A58 47B32 Berezin symbol composition operator essentially unitary operator reproducing kernel Hilbert space skew-symmetric operator
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Beschreibung
Zusammenfassung:	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.
ISSN:	2391-5455 2391-5455
DOI:	10.1515/math-2020-0117