The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\)

DOI10.1007/s10114-008-7286-xzbMath1162.46015OpenAlexW1993891444MaRDI QIDQ944063

Xiaohong Fu

Publication date: 12 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-7286-x

zbMATH Keywords

isometric extensionisometric mapping\(l^{\infty}(\Gamma )\) space

Mathematics Subject Classification ID

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

Related Items (10)

The problem of isometric extension in the unit sphere of the space \(s_p(\alpha,H)\) ⋮ On isometric extension in the space \(s_n(H)\) ⋮ Sharp corner points and isometric extension problem in Banach spaces ⋮ The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces ⋮ On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\) ⋮ Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\) ⋮ The isometric extension of ``into mappings on unit spheres of \(AL\)-spaces ⋮ A note on extension of isometric embedding from a Banach space \(E\) into the universal space \(\ell _{\infty }(\Gamma )\) ⋮ On isometric extension problem between two unit spheres ⋮ ISOMETRIES BETWEEN UNIT SPHERES OF THE -SUM OF STRICTLY CONVEX NORMED SPACES

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