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SPECTRAL RADIUS ALGEBRAS AND C0 CONTRACTIONS. II
Published online by Cambridge University Press: 22 September 2010
Abstract
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).
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- Copyright © Australian Mathematical Publishing Association Inc. 2010
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