Spectral radius algebras and weighted shifts of finite multiplicity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:429

Article

关键词: Spectral radius algebras;    Weighted shifts;    Invariant subspaces;   

DOI  :  10.1016/j.jmaa.2015.04.027

来源: Elsevier

【 摘 要 】

We consider the Spectral radius algebra associated with a weighted shift of finite multiplicity. When the weighted shift is injective, we describe the structure of this algebra. This leads to a necessary and sufficient condition for there to exist a nontrivial invariant subspace for the Spectral radius algebra. This result is then generalized to noninjective weighted shifts of finite multiplicity. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free