Approximation of Invariant Subspaces in Some Dirichlet-Type Spaces
Complex Analysis and Operator Theory, cilt.12, sa.8, ss.1959-1972, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 8
- Basım Tarihi: 2018
- Doi Numarası: 10.1007/s11785-017-0706-0
- Dergi Adı: Complex Analysis and Operator Theory
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1959-1972
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır
Özet
The Hilbert space D2 is the space of all holomorphic functions f defined on the open unit disc D such that f′ is in the Hardy Hilbert space H2. In this paper, we prove that the invariant subspaces of D2 with respect to multiplication operator Mz can be approximated with finite co-dimensional invariant subspaces. We also obtain a partial result in this direction for the classical Dirichlet space.