SPECTRAL RADIUS ALGEBRAS AND C0 CONTRACTIONS. II

Journal of the Australian Mathematical Society

SRDJAN PETROVIC¹ 

关键词: primary 47A15;    secondary 47A65;    47B15;   

DOI  :  10.1017/S1446788710001485

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We consider spectral radius algebras associated with C0 contractions. When the operator A is algebraic, we describe all invariant subspaces that are common for operators in its spectral radius algebra ℬA. When the operator A is not algebraic, ℬA is weakly dense and we characterize a set of rank-one operators in ℬA that is weakly dense in ℒ(ℋ).

【 授权许可】

Unknown