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ON POINTWISE ONE-SIDED ESTIMATES FOR CONTINUOUS FUNCTIONS
Published online by Cambridge University Press: 24 March 2006
Abstract
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.
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- Research Article
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- 2006 Glasgow Mathematical Journal Trust