Uniqueness of the uniform norm and adjoining identity in Banach algebras

DOI10.1007/BF02836876zbMath0866.46029OpenAlexW2036476304MaRDI QIDQ1917779

Subhash J. Bhatt, H. V. Dedania

Publication date: 15 July 1996

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02836876

zbMATH Keywords

spectral extension propertyunique uniform norm propertynon-unital Banach algebraregular normBanach *-algebra\(C^*\)-normadjoining identity to a Banach algebraoperator seminormweakly regular Banach algebra

Mathematics Subject Classification ID

General theory of topological algebras (46H05)

Related Items (6)

Spectral properties and stability of perturbed Cartesian product ⋮ Multipliers of weighted semigroups and associated Beurling Banach algebras ⋮ Classification of algebra norms and relations among them ⋮ The operator norm on weighted discrete semigroup algebras ℓ¹(𝑆,𝜔) ⋮ Spectral properties of the Lau product \(\mathcal{A}\times_{\theta}\mathcal{B}\) of Banach algebras ⋮ A non-unital $^\ast $-algebra has U$C^{\ast }$NP if and only if its unitization has U$C^{\ast }$NP

Cites Work

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• Banach algebras with unique uniform norm II
• Incomplete normed algebra norms on Banach algebras
• The Properties ∗ -Regularity and Uniqueness of C ∗ -Norm in a General ∗ -Algebra
• The Spectral Extension Property and Extension of Multiplicative Linear Functionals
• NORMS, STATES AND NUMERICAL RANGES ON DIRECT SUMS
• Norms on Unitizations of Banach Algebras
• Banach algebras with unique uniform norm

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