Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1810-65
Keywords
Invariant subspace, Hardy space, ball, inner function, factorization
First Page
759
Last Page
764
Recommended Citation
KOCA, B. B, & SADIK, N (2019). Singly generated invariant subspaces in the Hardy space on the unit ball. Turkish Journal of Mathematics 43 (2): 759-764. https://doi.org/10.3906/mat-1810-65
