On some problems for operators on the reproducing kernel Hilbert space

Garayev M. T., GUEDIRI H., GÜRDAL M., ALSAHLI G. M.

LINEAR & MULTILINEAR ALGEBRA, 2019 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/03081087.2019.1659220
  • Dergi Adı: LINEAR & MULTILINEAR ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Reproducing kernel, Berezin symbol, Hardy space, weighted composition operator, invariant subspace, Berezin number, TOEPLITZ-OPERATORS, NUMERICAL RADIUS, BEREZIN, INEQUALITIES
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this study, some problems of operator theory on the reproducing kernel Hilbert space by using the Berezin symbols method are investigated. Namely, invariant subspaces of weighted composition operators on and of operators and A on the reproducing kernel Hilbert space are given. Also, reverse inequalities for the Berezin number of two operators are proved. Under some conditions we prove the power inequality