Skew-symmetric and essentially unitary operators via Berezin symbols

Abstract

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.

Keywords

• skew-symmetric operator
• composition operator
• reproducing kernel hilbert space
• berezin symbol
• essentially unitary operator
• 47a58
• 47b32