Approximations in functional analysis

DOI10.1007/BF03322005zbMath0965.46004MaRDI QIDQ1572961

Robert Lowen, Mark Sioen

Publication date: 5 August 2001

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak topologynormed spacecompletenessreflexivitycompletionweak\(^*\) topologymeasure of compactnessuniform approach spaceuniform approach structure

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (8)

Gap functionals, proximities and hyperspace compactification ⋮ Quantified functional analysis: recapturing the dual unit ball ⋮ A compactness result in approach theory with an application to the continuity approach structure ⋮ Quantified functional analysis and seminormed spaces: a dual adjunction ⋮ 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 ⋮ Asymmetry and bicompletion of approach spaces

Cites Work

• A quasitopos containing CONV and MET as full subcategories
• A topological category suited for approximation theory?
• Local convexity and starshaped sets
• KURATOWSKI'S MEASURE OF NON-COMPACTNESS REVISITED
• Approach Spaces A Common Supercategory of TOP and MET
• COMPLETIONS OF PRODUCTS OF METRIC SPACES
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