Uniformly and locally convex asymmetric spaces

DOI10.1134/S1061920822010137zbMath1494.46012MaRDI QIDQ2120157

I. G. Tsar'kov

Publication date: 31 March 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

uniform convexitybest approximationlocal uniform convexityasymmetric normed spaces

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Continuous selections of set-valued mappings and approximation in asymmetric and semilinear spaces ⋮ Density of the points of continuity of the metric function and projection in asymmetric spaces ⋮ Universality theorems for asymmetric spaces ⋮ Strict protosuns in asymmetric spaces of continuous functions

Cites Work

• Unnamed Item
• Uniform convexity in nonsymmetric spaces
• Functional Analysis in Asymmetric Normed Spaces
• Continuous selections in asymmetric spaces
• Continuous selections for metric projection operators and for their generalizations
• Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm
• The Banach-Mazur theorem for spaces with an asymmetric distance
• Properties of monotone path-connected sets
• Separation axioms and covering dimension of asymmetric normed spaces
• Approximative properties of sets and continuous selections
• Weakly monotone sets and continuous selection in asymmetric spaces
• On the structure of the complements of Chebyshev sets

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