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

Tapdigoglu, Ramiz; GÜRDAL, Mehmet; Sari, Nur

doi:10.2298/fil2321303t

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, cilt.37, sa.21, ss.7303-7310, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 37 Sayı: 21
Basım Tarihi: 2023
Doi Numarası: 10.2298/fil2321303t
Dergi Adı: FILOMAT
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
Sayfa Sayıları: ss.7303-7310
Anahtar Kelimeler: Bergman space, Riccati operator equation, Berezin symbol, Toeplitz operator, Invariant subspace, Reproducing kernel, BEREZIN TRANSFORM
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

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.