Some results for operators on a model space

GÜRDAL M. , YAMANCI U. , Garayev M.

FRONTIERS OF MATHEMATICS IN CHINA, cilt.13, ss.287-300, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11464-018-0690-3
  • Dergi Adı: FRONTIERS OF MATHEMATICS IN CHINA
  • Sayfa Sayıları: ss.287-300

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.