Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T07:13:53.510Z Has data issue: false hasContentIssue false
  • English
  • Français

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: Gerd.Herzog@math.uni-karlsruhe.de, Roland.Lemmert@math.uni-karlsruhe.de
ROLAND LEMMERT
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany e-mail: Gerd.Herzog@math.uni-karlsruhe.de, Roland.Lemmert@math.uni-karlsruhe.de
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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