Multipliers with natural local spectra on commutative Banach algebras

DOI10.1006/jfan.1996.0065zbMath0897.46038OpenAlexW2018773620MaRDI QIDQ1918970

Michael M. Neumann, Jörg Eschmeier, K.B.Laursen

Publication date: 19 October 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.0065

zbMATH Keywords

group algebramultipliersapproximate unitsdecomposabilityconvolution operatorsBishop's property \((\beta)\)semi-simple commutative Banach algebraGelfand transformsDunford's property (C)local spectrameasures on a locally compact Abelian groupregular Tauberian-Banach algebras

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Local spectral properties of linear operators (47A11)

Related Items (12)

Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators ⋮ The single-valued extension property for sums and products of commuting operators ⋮ Jörg Eschmeier's mathematical work ⋮ Operators which have a closed quasi-nilpotent part ⋮ Essential spectra through local spectral theory ⋮ Unnamed Item ⋮ Subscalarity, invariant, and hyperinvariant subspaces for upper triangular operator matrices ⋮ Some spectral properties of multipliers on commutative Banach algebras ⋮ Multipliers with Closed Range on Regular Commutative Banach Algebras ⋮ Unnamed Item ⋮ Hyperinvariant subspace problem for some classes of operators ⋮ On the local spectral properties of the left multiplication operators

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