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RESEARCH PRODUCT
Gleason Parts and Weakly Compact Homomorphismsbetween Uniform Banach Algebras
Mikael LindströmPablo Galindosubject
Discrete mathematicsPure mathematicsApproximation propertyGeneral MathematicsBanach algebraSpectrum (functional analysis)HomomorphismBanach manifoldTopology (chemistry)Analytic functionMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-09-14 | Monatshefte f�r Mathematik |