Skew-symmetric and essentially unitary operators via Berezin symbols

Author:

Altwaijry Najla1,Garayev Mubariz1,Guediri Hocine1,Baazeem Amani1

Affiliation:

1. Department of Mathematics, College of Science, King Saud University , P.O. Box 2455 , Riyadh 11451 , Saudi Arabia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference30 articles.

1. S. M. Zagorodnyuk, On a J-polar decomposition of a bounded operator and matrices of J-symmetric and J-skew-symmetric operators, Banach J. Math. Anal. 4 (2000), no. 2, 11–36.

2. C. G. Li and T. T. Zhou, Skew symmetry of a class of operators, Banach J. Math. Anal. 8 (2014), no. 1, 279–294.

3. S. M. Zagorodnyuk, On the complex symmetric and skew-symmetric operators with a simple spectrum, SIGMA Symmetry Integrability Geom. Methods Appl. 7 (2011), 1–9.

4. S. Zhu and C. G. Li, Complex symmetry of a dense class of operators, Integral Equ. Oper. Theory 73 (2012), no. 2, 255–272.

5. S. Zhu, Approximate unitary equivalence to skew-symmetric operators, Comp. Anal. Oper. Theory 8 (2014), 1565–1580.

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1. Convexity of the Berezin range;Linear Algebra and its Applications;2022-08

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