On the bidual of quasinormable Fréchet algebras

DOI10.1002/MANA.201010019zbMath1235.46006OpenAlexW2035598620MaRDI QIDQ3112448

Christina P. Podara

Publication date: 10 January 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201010019

zbMATH Keywords

Fréchet spacesshort exact sequencesArens productquasinormable Fréchet \(m\)-convex algebra\(\sigma\)-\(C^*\)-algebra

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Duality theory for topological vector spaces (46A20) Inductive and projective limits in functional analysis (46M40) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) General theory of topological algebras with involution (46K05) Structure, classification of topological algebras (46H20)

Cites Work

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• A note on strictly regular Fréchet spaces
• Every \(C^*\)-seminorm is automatically submultiplicative
• Derived functors in functional analysis
• The bidual of a locally multiplicatively convex algebra
• Einführung in die Theorie der lokalkonvexen Räume
• B ^∗ -Algebras and their Representation
• Homological methods in the theory of locally convex spaces

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