The weakest \(m\)-convex topology stronger than an \(A\)-convex topology need not exist

DOI10.1007/BF02874951zbMath1123.46033MaRDI QIDQ862012

Lahbib Oubbi

Publication date: 2 February 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

locally \(m\)-convex algebralocally \(A\)-convex algebra

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) General theory of topological algebras (46H05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (1)

Integral representation for powers of elements in locally \(m\)-convex algebras and applications

Cites Work

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• On the \(m\)-convex topology of a locally \(A\)-convex algebra
• \(m\)-convex topologies in \(A\)-convex algebras
• A generalization of normed rings
• Algebres A-Convexes et Probleme de Michael
• Locally M-Pseudoconvex Topologies on Locally A-Pseudoconvex Algebras
• The Locally Boundedly Multiplicatively Convex Algebras
• Representation of A-Convex Algebras
• A Spectral Theory for Locally Convex Algebras
• Locally multiplicatively-convex topological algebras
• On a class of topological algebras
• On functional representation of commutative locally \(A\)-convex algebras.

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