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Evolution systems and perturbations of generators of strongly continuous groups

โœ Scribed by Ralph deLaubenfels


Publisher
Springer
Year
2004
Tongue
English
Weight
119 KB
Volume
4
Category
Article
ISSN
1424-3199

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๐Ÿ“œ SIMILAR VOLUMES


Semisimple Banach Algebras Generated by
โœ G. Muraz; V.Q. Phong ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

We prove that if \(T\) is a strongly based continuous bounded representation of a locally compact abelian group \(G\) on a Banach Space \(X\), and if the spectrum of \(T\) is countable, then the Banach algebra generated by \(f(T)=\int_{G} f(g) T(g) d g\), \(f \in L^{1}(G)\), is semisimple. 1994 Acad