The finest locally convex module topology

DOI10.1090/PSPUM/106/01930MaRDI QIDQ6492303

Francisco Javier García-Pacheco

Publication date: 25 April 2024

zbMATH Keywords

absorbing settopological ringtopological moduleunit segmentclosed unit neighborhood of zero

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topological fields, rings, etc. (topological aspects) (54H13) Topological and ordered rings and modules (16W80)

Cites Work

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• Some remarks on C*-convexity
• A new approach to Gelfand-Mazur theory and the extension theorem
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• Extension of modular functions and measures
• Lyapunov's theorem for measures on D-posets
• Extensions of the Hilbert-multi-norm in Hilbert \(C^\ast\)-modules
• Unit neighborhoods in topological rings.
• On extreme points of convex sets
• A solution to the faceless problem
• Power-norms based on Hilbert \(C^\ast\)-modules
• Pedersen-Takesaki operator equation and operator equation \(AX = B\) in Hilbert \(C^*\)-modules
• Convergence theorems for topological group valued measures on effect algebras
• Phillips Lemma on effect algebras of sets
• The Vitali-Hahn-Saks Theorem for Boolean Algebras with the Subsequential Interpolation Property
• Propriété de Nikodym et propriété de Grothendieck
• Topological rings that generalize artinian rings.
• Linearly compact chain rings
• Measures on effect algebras
• Decomposition of ℓ-group-valued measures
• Abstract Calculus
• Convex functions on topological modules
• A history of solving some famous problems in mathematical analysis
• Linear topologies and sequential compactness in topological modules
• Complementation of the subspace of G-invariant vectors
• Geometry of balanced and absorbing subsets of topological modules
• Bounded vector measures on effect algebras
• The Theory of Representation for Boolean Algebras
• Topological ordered rings and measures

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