A Banach Algebra Approach to the Weak Spectral Mapping Theorem for Locally Compact Abelian Groups

DOI10.1007/978-3-319-18494-4_11zbMath1337.43004OpenAlexW2395081505MaRDI QIDQ2801687

Eva Fašangová, Jean Esterle

Publication date: 21 April 2016

Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18494-4_11

zbMATH Keywords

group representationinfinitesimal generatorBochner integralspectral mapping theoremArveson spectrumregular Banach algebra

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Structure, classification of topological algebras (46H20) Cyclic vectors, hypercyclic and chaotic operators (47A16) Analysis on specific locally compact and other abelian groups (43A70) Structure and classification of commutative topological algebras (46J40)

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