Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On power bounded operators

Author: Eugen J. Ionascu
Journal: Proc. Amer. Math. Soc. 125 (1997), 1435-1441
MSC (1991): Primary 47B99
MathSciNet review: 1353387
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Abstract: In this paper we generalize the following consequence of a well-known result of Nagy: if $T$ and $T^{-1}$ are power bounded operators, then $T$ is a polynomially bounded operator.

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Eugen J. Ionascu
Affiliation: Department of Mathematics, Texas A& M University, College Station, Texas 77843

Received by editor(s): June 19, 1995
Received by editor(s) in revised form: November 20, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society