Pontryagin duality for spaces of continuous functions

DOI10.1006/jmaa.1999.6627zbMath0942.54013OpenAlexW2085278602MaRDI QIDQ1972051

Salvador Hernández, Vladimir V. Uspenskij

Publication date: 28 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6627

zbMATH Keywords

\(P\)-spacecaliber\(P\)-reflexive

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological groups (topological aspects) (54H11) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Algebraic properties of function spaces in general topology (54C40) Real-valued functions in general topology (54C30)

Related Items (8)

Self-duality in the class of precompact groups ⋮ Reflexivity in precompact groups and extensions ⋮ On reflexivity and the Ascoli property for free locally convex spaces ⋮ Tensor products of topological abelian groups and Pontryagin duality ⋮ A survey on reflexivity of abelian topological groups ⋮ Note on reflexivity of some spaces of continuous integer-valued functions ⋮ Uncountable products of determined groups need not be determined ⋮ Group duality with the topology of precompact convergence

Cites Work

• Additive subgroups of topological vector spaces
• Extensions of the Pontrjagin duality. I: Infinite products
• Extensions of the Pontrjagin duality. II: Direct and inverse sequences
• The Pontrjagin duality theorem in linear spaces
• Sequential Compactness of X Implies a Completeness Property for C(X)
• Pontryagin-van Kampen reflexivity for free Abelian topological groups
• TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS
• On locally convex vector spaces of continuous functions
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