Quantified functional analysis and seminormed spaces: a dual adjunction

DOI10.1016/J.JPAA.2005.10.021zbMath1111.46053OpenAlexW1999146197MaRDI QIDQ852921

Stijn Verwulgen, Mark Sioen

Publication date: 15 November 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.10.021

zbMATH Keywords

dual adjunctionabsolutely convex modulesdualisation functor on locally convex approach spacesEilenberg--Moore algebrasquantified functional analysis

Mathematics Subject Classification ID

Categories, functors in functional analysis (46M15)

Related Items (5)

Supported approach spaces ⋮ Every Banach space is reflexive ⋮ An isometric representation of the dual of \(\mathcal{C}\left(X,\mathbb{R}\right)\) ⋮ An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric ⋮ Duality, vector spaces and absolutely convex modules

Cites Work

• Separated totally convex spaces
• The coproduct of totally convex spaces
• Approximations in functional analysis
• Absolutely convex modules and Saks spaces
• Convexity theories. V: Extensions of absolutely and totally convex modules
• Quantified functional analysis: recapturing the dual unit ball
• Duality in analysis from the point of view of triples
• Banach spaces and totally convex spaces I
• Banach spaces and totally convex spaces II
• Approach Spaces A Common Supercategory of TOP and MET
• Locally convex approach spaces
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