The isometric extension problem in the unit spheres of \(l^p(\Gamma)(p>1)\) type spaces

From MaRDI portal
Publication:551784

DOI10.1360/03YS9035zbMath1217.46010OpenAlexW1528748355MaRDI QIDQ551784

Guang Gui Ding

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/03ys9035




Related Items (29)

The isometric extension problem between unit spheres of two separable Banach spacesTingley's problem for spaces of trace class operatorsOn 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 the extension of isometries between the unit spheres of von Neumann algebrasOn extension of isometries between unit spheres of 𝐴𝐿_{𝑝}-spaces (0<𝑝<∞)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)Tingley's problem for \(p\)-Schatten von Neumann classesThe Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spacesOn isometries and Tingley’s problem for the spaces $T[\theta , \mathcal{S}_{\alpha }$, $1 \leqslant\alpha \lt \omega _{1}$] ⋮ On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻)Some new properties and isometries on the unit spheres of generalized James spaces \(J_{p}\)On extension of isometries on the unit spheres of \(L^p\)-spaces for \(0 < p \leq 1\)A solution to Tingley's problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triplesThe Mazur–Ulam property for the space of complex null sequencesExtending surjective isometries defined on the unit sphere of \(\ell_\infty(\Gamma)\)Tingley's problem on finite von Neumann algebrasOn the unit sphere of positive operatorsExtension of isometries on the unit sphere of \(L^p\) spacesSharp corner points and isometric extension problem in Banach spacesThe isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spacesA remark on extension of into isometriesExtension of isometries on the unit sphere of \(l ^{p }(\Gamma )\) spaceLow rank compact operators and Tingley's problemOn linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\)The Mazur–Ulam property for commutative von Neumann algebrasTingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\)On extension of isometries and approximate isometries between unit spheresThe isometric extension of ``into mappings on unit spheres of \(AL\)-spaces




Cites Work




This page was built for publication: The isometric extension problem in the unit spheres of \(l^p(\Gamma)(p>1)\) type spaces