Approximate spectral cosynthesis in the harmonically weighted Dirichlet spaces
Hacettepe Journal of Mathematics and Statistics, cilt.52, sa.3, ss.721-728, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 52 Sayı: 3
- Basım Tarihi: 2023
- Doi Numarası: 10.15672/hujms.1171901
- Dergi Adı: Hacettepe Journal of Mathematics and Statistics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.721-728
- Anahtar Kelimeler: invariant subspaces, weighted Dirichlet spaces
- Ankara Yıldırım Beyazıt Üniversitesi Adresli: Hayır
Özet
For a finite positive Borel measure µ on the unit circle, let D(µ) be the associated harmonically weighted Dirichlet space. A shift invariant subspace M recognizes strong approximate spectral cosynthesis if there exists a sequence of shift invariant subspaces Mk, with finite codimension, such that the orthogonal projections onto Mk converge in the strong operator topology to the orthogonal projection onto M. If µ is a finite sum of atoms, then we show that shift invariant subspaces of D(µ) admit strong approximate spectral cosynthesis.