Uniqueness of the Uniform Norm with an Application to Topological Algebras

DOI10.2307/2159758zbMath0790.46041OpenAlexW4238175852MaRDI QIDQ4022142

Dinesh J. Karia, Subhash J. Bhatt

Publication date: 17 January 1993

Full work available at URL: https://doi.org/10.2307/2159758

zbMATH Keywords

\(Q\)-algebrasubmultiplicativecomplete uniform topological algebrasquare-preserving linear seminormunital commutative algebra

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Banach algebras of continuous functions, function algebras (46J10)

Related Items (8)

Zero-separating algebras of continuous functions ⋮ Automatic Continuity of Homomorphisms in Topological Algebras ⋮ A real seminorm with square property is submultiplicative ⋮ A seminorm with square property on a complex associative algebra is submultiplicative ⋮ A Seminorm with Square Property on a Banach Algebra is Submultiplicative ⋮ Description of a class of locally pseudoconvex algebras which have an equivalent locally \(M\)-pseudoconvex topology ⋮ Uniqueness of $F$-algebra topology for commutative semisimple algebras ⋮ A seminorm with square property is automatically submultiplicative

Cites Work

• On spectra and numerical ranges in locally m-convex algebras
• Michael problem and algebras of holomorphic functions
• On maximal ideals in commutative m-convex algebras
• Locally multiplicatively-convex topological algebras
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