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Proceedings of the American Mathematical Society
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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Additional Information

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

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03623-X
PII: S 0002-9939(97)03623-X
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