A banach algebra approach to the weak spectral mapping theorem for locally compact abelian groups

Jean Esterle; Eva Făsangová

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A banach algebra approach to the weak spectral mapping theorem for locally compact abelian groups

Esterle J
Făsangová E

Springer International Publishing, (2015), 155-170

DOI: 10.1007/978-3-319-18494-4_11

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Abstract

We give a general version of the weak spectral mapping theorem for non-quasianalytic representations of locally compact abelian groups which are weakly continuous in the sense of Arveson, based on a Banach algebra approach.

Author supplied keywords

Arveson spectrum
Bochner integral
Group representation
Infinitesimal generator
Regular Banach algebra
Spectral mapping theorem

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Esterle, J., & Făsangová, E. (2015). A banach algebra approach to the weak spectral mapping theorem for locally compact abelian groups. In Operator Theory: Advances and Applications (Vol. 250, pp. 155–170). Springer International Publishing. https://doi.org/10.1007/978-3-319-18494-4_11

A banach algebra approach to the weak spectral mapping theorem for locally compact abelian groups

Abstract

Author supplied keywords

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