Some results for operators on a model space
FRONTIERS OF MATHEMATICS IN CHINA, cilt.13, sa.2, ss.287-300, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 2
- Basım Tarihi: 2018
- Doi Numarası: 10.1007/s11464-018-0690-3
- Dergi Adı: FRONTIERS OF MATHEMATICS IN CHINA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.287-300
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We investigate some problems for truncated Toeplitz operators. Namely, the solvability of the Riccati operator equation on the set of all truncated Toeplitz operators on the model space K (theta) = H (2)Iy theta H (2) is studied. We study in terms of Berezin symbols invertibility of model operators. We also prove some results for the Berezin number of the truncated Toeplitz operators. Moreover, we study some property for H (2)-functions in terms of noncyclicity of co-analytic Toeplitz operators and hypercyclicity of model operators.