The isometric extension of ``into mappings on unit spheres of \(AL\)-spaces

DOI10.1007/s11425-008-0018-yzbMath1184.46011OpenAlexW1990052423MaRDI QIDQ1042770

Guang Gui Ding

Publication date: 7 December 2009

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

Full work available at URL: https://doi.org/10.1007/s11425-008-0018-y

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (11)

The isometric extension problem between unit spheres of two separable Banach spaces ⋮ The isometric extension of an into mapping from the unit \(S( \ell^{\infty}_{( 2 )})\) to \(S(L^{1} (\mu))\) ⋮ On isometries and Tingley’s problem for the spaces $T[\theta , \mathcal{S}_{\alpha }$, $1 \leqslant\alpha \lt \omega _{1}$] ⋮ 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 \(0 < p \leq 1\) ⋮ Extension of isometries on the unit sphere of \(L^p\) spaces ⋮ Sharp corner points and isometric extension problem in Banach spaces ⋮ A note on the Mazur-Ulam property of almost-CL-spaces ⋮ The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces ⋮ Some remarks on generalised lush spaces ⋮ On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\)

Cites Work

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