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On a discrete-time version of a problem of A. J. Pritchard and J. Zabczyk

Published online by Cambridge University Press:  14 November 2011

K. Maciej Przyłuski
K. Maciej Przyłuski
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Ul. Śniadeckich 8, P.O. Box 137, 00-950 Warszawa, Poland
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Synopsis

It is shown that every weakly l1-stable linear and bounded operator (which represents a linear discrete-time system) on a Hilbert space is power stable. It solves (at least partially) a discrete-time version of a problem posed by A. J. Pritchard and J. Zabczyk for strongly continuous semigroups of bounded linear operators.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 1-2 , 1985 , pp. 159 - 161
Copyright
Copyright © Royal Society of Edinburgh 1985

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