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.
In this paper we use the Duhamel product to provide a Banach algebra structure to each of a scale of Bergman spaces over the unit disk, and then carry out many interesting consequences.
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…