- Turkish Journal of Mathematics
- Vol: 43 Issue: 2
- Singly generated invariant subspaces in the Hardy space on the unit ball
Singly generated invariant subspaces in the Hardy space on the unit ball
Authors : Beyaz Başak Koca, Nazim Sadik
Pages : 759-764
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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.Keywords : Invariant subspace, Hardy space, ball, inner function, factorization