Singly generated invariant subspaces in the Hardy space on the unit ball
TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.2, ss.759-764, 2019 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.3906/mat-1810-65
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.759-764
- İstanbul Üniversitesi Adresli: Evet
Özet
In this paper, we give a complete characterization of singly generated invariant subspaces in the Hardy space on the unit ball. Then we construct a singly generated invariant subspace that cannot be generated by a single inner function, contrary to the one-variable case where every invariant subspace is generated by a single inner function. Some important properties of invariant subspaces are also determined for singly generated invariant subspaces.