Local spectral properties of multipliers on Banach algebras

DOI10.1007/BF01189927zbMath0726.47019OpenAlexW2040580967MaRDI QIDQ803902

Michael M. Neumann, K.B.Laursen

Publication date: 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189927

zbMATH Keywords

uniform algebrasFourier-Stieltjes transformlocal spectrumRiesz operatoralgebras with a bounded approximate identitydecomposable in the sense of Foiaşmultipliers on semi-simple commutative Banach algebras

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (4)

Essential spectra through local spectral theory ⋮ Automatic continuity of intertwining linear operators on Banach spaces ⋮ Multipliers with Closed Range on Regular Commutative Banach Algebras ⋮ Asymptotic intertwining and spectral inclusions on Banach spaces

Cites Work

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• A duality theorem for an arbitrary operator
• On decomposable operators
• Commutative Banach algebras and decomposable operators
• On the spectra of multipliers
• Continuous Functions on Compact Spaces Without Perfect Subsets

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