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On the convex compactness property for the strong operator topology and related topics

✍ Scribed by Mustapha Mokhtar-Kharroubi

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 120 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.497

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✦ Synopsis

Abstract

We give direct proofs of the convex compactness property for the strong operator topology in Lebesgue spaces for compact or weakly compact operators. We also show how this tool applies to spectral theory of perturbed semigroups. Some non‐weakly compact operators arising in perturbation theory of neutron transport are shown to be Dunford–Pettis operators. Copyright © 2004 John Wiley & Sons, Ltd.

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