Multipliers with Closed Range on Regular Commutative Banach Algebras

DOI10.2307/2161212zbMath0806.47032OpenAlexW4251227197MaRDI QIDQ4303805

Pietro Aiena, K.B.Laursen

Publication date: 16 February 1995

Full work available at URL: https://doi.org/10.2307/2161212

zbMATH Keywords

Fredholm theorycommutative semisimple Banach algebraKato theoryclosure of the range of a multiplier

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) (Semi-) Fredholm operators; index theories (47A53) Linear operators on Banach algebras (47B48) Linear operators in algebras (47C05)

Related Items (4)

Essential spectra through local spectral theory ⋮ A characterization of the closed unital ideals of the Fourier-Stieltjes algebra \(B\)(\(G\)) of a locally compact amenable group \(G\). ⋮ When is the range of a multiplier on a Banach algebra closed? ⋮ \(B\)-Fredholm and spectral properties for multipliers in Banach algebras

Cites Work

• Local spectral properties of multipliers on Banach algebras
• Sur un problème de I. Glicksberg: Les idéaux fermés de type fini de \(M(G)\)
• Multipliers with natural local spectra on commutative Banach algebras
• Ein Spektralabbildungssatz. (A spectral mapping theorem)
• Projections on Invariant Subspaces
• On Multipliers of Segal Algebras
• On Compact Multipliers of Banach Algebras
• When Is μ∗ L 1 Closed?
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