The isometric extension of an into mapping from the unit \(S( \ell^{\infty}_{( 2 )})\) to \(S(L^{1} (\mu))\)

DOI10.1007/s10114-005-0695-1zbMath1124.46003OpenAlexW2028074691MaRDI QIDQ882735

Guang Gui Ding

Publication date: 24 May 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0695-1

zbMATH Keywords

unit sphereinto isometry

Mathematics Subject Classification ID

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

Related Items

The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\) ⋮ A remark on extension of into isometries ⋮ On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\) ⋮ The isometric extension of ``into mappings on unit spheres of \(AL\)-spaces

Cites Work

• Extension of isometries between the unit spheres of normed space \(E\) and \(C(\Omega)\)
• The isometric extension of ``into mappings on unit spheres of \(AL\)-spaces
• Banach lattices
• On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
• Isometries of the unit sphere
• On the extension of operators with a finite-dimensional range
• A geometric characterization of the nonlinear Schrödinger equation
• The representation theorem of onto isometric mappings between two unit spheres of \(l^1(\Gamma)\) type spaces and the application to the isometric extension problem
• $L_1$ contains every two-dimensional normed space
• On extension of isometries between unit spheres of 𝐴𝐿_{𝑝}-spaces (0<𝑝<∞)
• A Class of Negative-Definite Functions
• On perturbations and extensions of isometric operators
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