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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On power bounded operators
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by Eugen J. Ionascu PDF
Proc. Amer. Math. Soc. 125 (1997), 1435-1441 Request permission

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
  • Received by editor(s): June 19, 1995
  • Received by editor(s) in revised form: November 20, 1995
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1435-1441
  • MSC (1991): Primary 47B99
  • DOI: https://doi.org/10.1090/S0002-9939-97-03623-X
  • MathSciNet review: 1353387