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The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces - MaRDI portal

The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces (Q547397)

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scientific article; zbMATH DE number 5916813

Language	Label	Description	Also known as
English	The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces	scientific article; zbMATH DE number 5916813

Statements

scholarly article

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The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces (English)

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Science China. Mathematics

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publication date

1 July 2011

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zbMATH Keywords

1-Lipschitz mapping

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linearly isometric extension

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Gâteaux differentiability space

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smooth point

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s11425-010-4163-8

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Isometries on unit sphere of (\(\ell^{\beta_n}\))

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Geometry of Banach spaces. Selected topics

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A geometric characterization of the nonlinear Schrödinger equation

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On the extension of isometries between unit spheres of \(E\) and \(C(\Omega)\).

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

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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

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The representation theorem of onto isometric mappings between two unit spheres of \(l^\infty\)-type spaces and the application on isometric extension problem

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The isometric extension of the into mapping from a \(\mathcal{L}^{\infty}(\Gamma)\)-type space to some Banach space

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

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Extension of isometries between the unit spheres of normed space \(E\) and \(C(\Omega)\)

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Isometries on the space \(s\)

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The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\)

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On extension of isometries between unit spheres of L<sup>∞</sup> and E

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On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\)

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Convex functions, monotone operators and differentiability.

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Isometries of the unit sphere

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On extension of isometries between unit spheres of 𝐴𝐿_{𝑝}-spaces (0<𝑝<∞)

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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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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11425-010-4163-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:547397

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