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One-sided estimates for quasimonotone increasing functions

Published online by Cambridge University Press:  17 April 2009

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
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Abstract

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Let E be a Banach space ordered by a solid and normal cone K, and normed by the Minkowski functional of an order interval [–p, p], p ∈ K∘. We derive global one-sided estimates for quasimonotone increasing functions f : [0, T) × E → E with respect to the norm, and the distance to the line generated by p, under conditions of f; in direction p.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 3 , June 2003 , pp. 383 - 392
Copyright
Copyright © Australian Mathematical Society 2003

References

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