ACTA issues

## A class of power bounded operators which are similar to contractions

Maria F. Gamal'

Acta Sci. Math. (Szeged) 80:3-4(2014), 625-637
17/2014

 Abstract. Let $R$ be a power bounded operator, and let $\cal M$ be its invariant subspace such that $R|_\cal M$ is similar to a unilateral shift of finite multiplicity and $P_\cal M^\perp R|_\cal M^\perp$ is similar to a $C_0$-contraction. Then $R$ is similar to a contraction. DOI: 10.14232/actasm-014-267-4 AMS Subject Classification (1991): 47A45, 47A65, 47B99 Keyword(s): power bounded operator, similarity, contraction, unilateral shift, $C_0$-contraction Received February 21, 2014, and in final form September 1, 2014. (Registered under 17/2014.)