ON ISOMETRIC REPRESENTATION SUBSETS OF BANACH SPACES

DOI10.1017/S0004972715001422zbMath1358.46010OpenAlexW2277203615MaRDI QIDQ2814348

Yu Zhou, Chun Yan Liu, Zi Hou Zhang

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001422

zbMATH Keywords

isometryBanach spacelinear isometryrepresentation subset of isometryweakly nearly strictly convex space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Related Items (5)

Stability of \(\varepsilon\)-isometric embeddings into Banach spaces of continuous functions ⋮ On the Figiel type problem and extension of \(\varepsilon\)-isometry between unit spheres ⋮ Hyers-Ulam stability of bijective \(\varepsilon\)-isometries between Hausdorff metric spaces of compact convex subsets ⋮ Stability characterizations of \(\epsilon\)-isometries on certain Banach spaces ⋮ Hyers-Ulam stability of \(\epsilon\)-isometries between the positive cones of \(L^p\)-spaces

Cites Work

• Unnamed Item
• Isometric embeddings of compact spaces into Banach spaces
• Weak near convexity and smoothness of Banach spaces
• On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces
• On perturbed metric-preserved mappings and their stability characterizations
• Stability of almost surjective \(\varepsilon\)-isometries of Banach spaces
• Linearization of isometric embeddings between Banach spaces: An elementary approach
• Lipschitz-free Banach spaces

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