On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
From MaRDI portal
Publication:1421086
DOI10.1007/s10114-003-0240-zzbMath1047.46012OpenAlexW2031397169MaRDI QIDQ1421086
Publication date: 2003
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-003-0240-z
Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15)
Related Items (33)
The isometric extension problem between unit spheres of two separable Banach spaces ⋮ Tingley's problem for spaces of trace class operators ⋮ On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\) ⋮ On extension of isometries between the unit spheres of normed space \(E\) and \(l^p\) \((p > 1)\) ⋮ On extension of isometries between unit spheres of \(L_{p}(\mu )\) and \(L_{p}(\nu ,H)\) (\(1< p \neq 2\), \(H\) is a Hilbert space) ⋮ NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES ⋮ The Mazur–Ulam property for uniform algebras ⋮ The isometric extension of an into mapping from the unit \(S( \ell^{\infty}_{( 2 )})\) to \(S(L^{1} (\mu))\) ⋮ Extension of isometries between the unit spheres of normed space \(E\) and \(C(\Omega)\) ⋮ The Mazur–Ulam property for abelian $C^*$-algebras ⋮ The Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spaces ⋮ On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻) ⋮ A solution to Tingley's problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples ⋮ The Mazur–Ulam property for the space of complex null sequences ⋮ ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE ⋮ The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\) ⋮ Tingley's problem on finite von Neumann algebras ⋮ On a variant of Tingley's problem for some function spaces ⋮ Extension of isometries on the unit sphere of \(L^p\) spaces ⋮ Sharp corner points and isometric extension problem in Banach spaces ⋮ NONEXPANSIVE MAPPINGS AND EXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME F-SPACES ⋮ The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces ⋮ A remark on extension of into isometries ⋮ Extension of isometries on the unit sphere of \(l ^{p }(\Gamma )\) space ⋮ On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\) ⋮ The Mazur-Ulam property on Banach spaces of vector-valued continuous functions ⋮ Tingley's problems on uniform algebras ⋮ Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\) ⋮ On extension of isometries and approximate isometries between unit spheres ⋮ The isometric extension of ``into mappings on unit spheres of \(AL\)-spaces ⋮ On isometric extension problem between two unit spheres ⋮ 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 ⋮ Extension of isometries in real Hilbert spaces
Cites Work
This page was built for publication: On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
