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)
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Publication:855415
DOI10.1016/j.jmaa.2005.11.013zbMath1112.46011OpenAlexW2492622366MaRDI QIDQ855415
Publication date: 7 December 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.013
Related Items (16)
On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\) ⋮ A FURTHER PROPERTY OF SPHERICAL ISOMETRIES ⋮ NONEXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME BANACH SPACES ⋮ Isometries on the quasi-Banach spaces \(L^p\) \((0 < p < 1)\) ⋮ Unnamed Item ⋮ On isometries and Tingley’s problem for the spaces $T[\theta , \mathcal{S}_{\alpha }$, $1 \leqslant\alpha \lt \omega _{1}$] ⋮ 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 ⋮ 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 \(\mathbb R^2\) ⋮ On extension of isometries and approximate isometries between unit spheres ⋮ 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
Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- The isometric extension problem in the unit spheres of \(l^p(\Gamma)(p>1)\) type spaces
- On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
- Isometries of the unit sphere
- The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space
- On extension of isometries between unit spheres of 𝐴𝐿_{𝑝}-spaces (0<𝑝<∞)
- On perturbations and extensions of isometric operators
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