Gleason parts and weakly compact homomorphisms between uniform Banach algebras

Pablo Galindo; Mikael Lindström

doi:10.1007/s006050050048

Gleason parts and weakly compact homomorphisms between uniform Banach algebras

Pablo Galindo^*, Mikael Lindström

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

8 Citations (Scopus)

Abstract

If points in nontrivial Gleason parts of a uniform Banach algebra have unique representing measures, then the weak and the norm topology coincide on the spectrum. We derive from this several consequences about weakly compact homomorphisms and discuss the case of other uniform Banach algebras arising in complex infinite dimensional analysis.

Original language	English
Pages (from-to)	89-97
Number of pages	9
Journal	Monatshefte fur Mathematik
Volume	128
Issue number	2
DOIs	https://doi.org/10.1007/s006050050048
Publication status	Published - 1999
MoE publication type	A1 Journal article-refereed

Keywords

Analytic function
Gleason part
Uniform banach algebra
Weakly compact homomorphism

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10.1007/s006050050048

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title = "Gleason parts and weakly compact homomorphisms between uniform Banach algebras",

abstract = "If points in nontrivial Gleason parts of a uniform Banach algebra have unique representing measures, then the weak and the norm topology coincide on the spectrum. We derive from this several consequences about weakly compact homomorphisms and discuss the case of other uniform Banach algebras arising in complex infinite dimensional analysis.",

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AU - Lindström, Mikael

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KW - Analytic function

KW - Gleason part

KW - Uniform banach algebra

KW - Weakly compact homomorphism

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Gleason parts and weakly compact homomorphisms between uniform Banach algebras

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Keywords

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