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The strong partition relation on ω1 revisited

✍ Scribed by Steve Jackson; Russell May

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
156 KB
Volume
50
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We give a new proof of the strong partition relation on ω~1~, assuming the axiom of determinacy, which uses only a general argument not involving the complete analysis of a measure on ω~1~. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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## 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 pertu