On the Rolewicz theorem for evolution operators

Author:
K. V. Storozhuk

Journal:
Proc. Amer. Math. Soc. **135** (2007), 1861-1863

MSC (2000):
Primary 47D06; Secondary 34G10

DOI:
https://doi.org/10.1090/S0002-9939-07-08697-2

Published electronically:
January 5, 2007

MathSciNet review:
2286097

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Abstract | References | Similar Articles | Additional Information

Abstract: We give a short proof of a generalization of the Rolewicz theorem based on the uniform boundedness principle.

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Additional Information

**K. V. Storozhuk**

Affiliation:
Sobolev Institute of Mathematics, Acad. Koptyug pr. 4, 630090 Novosibirsk, Russia

DOI:
https://doi.org/10.1090/S0002-9939-07-08697-2

Keywords:
$C_0$-semigroup,
evolution operator,
uniform exponential stability

Received by editor(s):
December 16, 2005

Received by editor(s) in revised form:
February 14, 2006

Published electronically:
January 5, 2007

Additional Notes:
The author was supported by the Program of Russian Federation, Grant NSh-8526.2006.1

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2007
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.