A Seminorm with Square Property on a Banach Algebra is Submultiplicative

DOI10.2307/2159180zbMath0794.46040OpenAlexW4232531922MaRDI QIDQ4038381

Subhash J. Bhatt

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2159180

zbMATH Keywords

subadditivitysquare propertysubmultiplicativitycommutativity criteria in normed algebrasexistence of continuous multiplicative linear functionals on topological algebrasreduction of the Michael problem in Fréchet algebrasuniqueness of the uniform norm in uniform Banach algebras

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) General theory of topological algebras (46H05)

Related Items (6)

Orthomodularity and the incompatibility of relativity and quantum mechanics ⋮ On functional representation of commutative locally \(A\)-convex algebras. ⋮ A real seminorm with square property is submultiplicative ⋮ A seminorm with square property on a complex associative algebra is submultiplicative ⋮ Topological algebras with subadditive boundedness radius ⋮ A seminorm with square property is automatically submultiplicative

Cites Work

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• Michael problem and algebras of holomorphic functions
• Propriétés spectrales des algèbres de Banach
• Every \(C^*\)-seminorm is automatically submultiplicative
• Derivations of simple \(C^ *\)-algebras. III
• A Discontinuous Homomorphism from C(X)
• Uniqueness of the Uniform Norm with an Application to Topological Algebras
• Locally multiplicatively-convex topological algebras
• The space 𝐿^{𝜔} and convex topological rings

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