On the solution of the operator Riccati equations and invariant subspaces in the weighted Bergman space of the unit ball

Tapdigoglu R., GÜRDAL M., Sari N.

FILOMAT, vol.37, no.21, pp.7303-7310, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 21
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2321303t
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.7303-7310
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

We consider the Riccati operator equations on the weighted Bergman space A2 alpha (Bn) of the unit ball Bn in Cn and investigate the properties of their solutions. Our discussion uses the Berezin symbols method.