On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\)
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Publication:5962269
DOI10.1007/S10114-010-8266-5zbMath1206.46014OpenAlexW2150509221MaRDI QIDQ5962269
Publication date: 21 September 2010
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-010-8266-5
Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04)
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Cites Work
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- The isometric extension problem in the unit spheres of \(l^p(\Gamma)(p>1)\) type spaces
- Isometries on unit sphere of (\(\ell^{\beta_n}\))
- 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)
- 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 isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\)
- The isometric extension of ``into mappings on unit spheres of \(AL\)-spaces
- On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).
- Isometries of the unit sphere
- On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\)
- The isometric extension of the into mapping from a \(\mathcal{L}^{\infty}(\Gamma)\)-type space to some Banach space
- The representation theorem of onto isometric mappings between two unit spheres of \(l^\infty\)-type spaces and the application on isometric extension problem
- A geometric characterization of the nonlinear Schrödinger equation
- Isometries on the space \(s\)
- 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
- On extension of isometries between unit spheres of 𝐴𝐿_{𝑝}-spaces (0<𝑝<∞)
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