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SPECTRAL RADIUS ALGEBRAS AND C0 CONTRACTIONS. II

Part of: Special classes of linear operators General theory of linear operators

Published online by Cambridge University Press:  22 September 2010

SRDJAN PETROVIC
SRDJAN PETROVIC*
Affiliation:
Department of Mathematics, Western Michigan University, Kalamazoo, MI 49008, USA (email: srdjan.petrovic@wmich.edu)
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Abstract

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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).

Keywords

spectral radius algebrasinvariant subspacesC0 contractionJordan block

MSC classification

Secondary: 47A15: Invariant subspaces 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 89 , Issue 1 , August 2010 , pp. 91 - 104
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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