The Spectral Extension Property and Extension of Multiplicative Linear Functionals

DOI10.2307/2048710zbMath0744.46041OpenAlexW4234717847MaRDI QIDQ3981102

Michael J. Meyer

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2048710

zbMATH Keywords

commutative Banach algebraspectrumisometric extensionsmultiplicative Hahn-Banach extension propertynot completely regularsize of the Shilov boundarystrong spectral extension property

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear spaces of operators (47L05)

Related Items

Uniqueness of the uniform norm and adjoining identity in Banach algebras ⋮ Spectral properties and stability of perturbed Cartesian product ⋮ Banach algebras with unique uniform norm ⋮ Spectral properties of the Lau product \(\mathcal{A}\times_{\theta}\mathcal{B}\) of Banach algebras ⋮ Continuous Dense Embeddings of Strong Moore Algebras

Cites Work

• Interpolation of spectrum of bounded operators on Lebesgue spaces
• Spectral algebras
• Normed algebras
• On Spectral Permanence for Certain Banach Algebras
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