Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem

QARAYEV R., Garayev M.

Numerical Functional Analysis and Optimization, vol.46, no.3, pp.262-274, 2025 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 46 Say: 3
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.1080/01630563.2024.2436405
  • jurnalın adı: Numerical Functional Analysis and Optimization
  • Jurnalın baxıldığı indekslər: 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
  • Səhifə sayı: pp.262-274
  • Açar sözlər: Berezin number, Berezin transform, Bergman space, model space, reproducing kernel, truncated Toeplitz operator
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

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.