Abstract
We introduce some classes of Banach spaces for which the hyperinvariant subspace problem for the shift operator has positive answer. Moreover, we provide sufficient conditions on weights which ensure that certain subspaces of $\ell^2_{{\beta}}(\mathbb{Z})$ are closed under convolution. Finally we consider some cases of weighted spaces for which the problem remains open.
Citation
Hossein Sadeghi. Farzollah Mirzapour. "The existence of hyperinvariant subspaces for weighted shift operators." Adv. Oper. Theory 3 (3) 690 - 698, Summer 2018. https://doi.org/10.15352/aot.1802-1316
Information
