A seminorm with square property is automatically submultiplicative

DOI10.1007/BF03161311zbMath0936.46038MaRDI QIDQ1301566

H. V. Dedania

Publication date: 20 December 1999

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

zbMATH Keywords

square propertysubmultiplicativelinear associative algebra

Mathematics Subject Classification ID

General theory of topological algebras (46H05) General theory of locally convex spaces (46A03)

Related Items (6)

Gelfand-Mazur theorems in normed algebras: a survey ⋮ A real seminorm with square property is submultiplicative ⋮ On a conjecture concerning some automatic continuity theorems ⋮ The regularity radius in locally \(A\)-convex algebras ⋮ Topologically uniform and strongly topologically uniform algebras ⋮ Topological algebras with subadditive boundedness radius

Cites Work

• Every \(C^*\)-seminorm is automatically submultiplicative
• On locally convex square algebras
• Uniqueness of the Uniform Norm with an Application to Topological Algebras
• A Seminorm with Square Property on a Banach Algebra is Submultiplicative

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