Triviality of the Peripheral Point Spectrum of Positive Semigroups on Atomic Banach Lattices

Triviality of the Peripheral Point Spectrum of Positive Semigroups on Atomic Banach Lattices Generalizing a result of Keicher [4] we show that generators of positive C 0-semigroups on super-atomic Banach lattices have trivial peripheral point spectrum provided they satisfy a certain growth condition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Triviality of the Peripheral Point Spectrum of Positive Semigroups on Atomic Banach Lattices

Positivity , Volume 12 (1) – Oct 29, 2007

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Publisher
Springer Journals
Copyright
Copyright © 2007 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-007-2151-1
Publisher site
See Article on Publisher Site

Abstract

Generalizing a result of Keicher [4] we show that generators of positive C 0-semigroups on super-atomic Banach lattices have trivial peripheral point spectrum provided they satisfy a certain growth condition.

Journal

PositivitySpringer Journals

Published: Oct 29, 2007

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