Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem
Numerical Functional Analysis and Optimization, vol.46, no.3, pp.262-274, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 46 Issue: 3
- Publication Date: 2025
- Doi Number: 10.1080/01630563.2024.2436405
- Journal Name: Numerical Functional Analysis and Optimization
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
- Page Numbers: pp.262-274
- Keywords: Berezin number, Berezin transform, Bergman space, model space, reproducing kernel, truncated Toeplitz operator
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
We consider generalized Riccati operator equations and study their solutions in terms of Berezin transforms. We also investigate invariant subspaces of some Toeplitz operators on the Bergman space (Formula presented.) over the unit disc (Formula presented.) of the complex plane (Formula presented.) Some other related questions are also discussed.