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ON POINTWISE ONE-SIDED ESTIMATES FOR CONTINUOUS FUNCTIONS

Published online by Cambridge University Press:  24 March 2006

GERD HERZOG  and
ROLAND LEMMERT
GERD HERZOG
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany e-mail: [email protected], [email protected]
ROLAND LEMMERT
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany e-mail: [email protected], [email protected]
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Abstract

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We prove that Mazur's functional characterization for one-sided estimates can be restricted to smaller classes of functionals in the case in which the functions under consideration are continuous. We apply this result to stability problems for dynamical systems in $l^\infty$, and in the Banach space of all selfadjoint operators on a Hilbert space.

Keywords

47H0634G20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 1 , January 2006 , pp. 83 - 91
Copyright
2006 Glasgow Mathematical Journal Trust