The problem of isometric extension in the unit sphere of the space \(s_p(\alpha,H)\)

DOI10.15352/bjma/1381782095zbMath1303.46013OpenAlexW2053640349MaRDI QIDQ380305

Xiaohong Fu

Publication date: 13 November 2013

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1381782095

zbMATH Keywords

Sobolev spaceisometric extensionisometric mapping

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (1)

On isometric extension in the space \(s_n(H)\)

Cites Work

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• The geometry of \(L_p\)-spaces over atomless measure spaces and the Daugavet property
• The problem of isometric extension in the unit sphere of the space \(s_p(\alpha )\)
• Isometries on unit sphere of (\(\ell^{\beta_n}\))
• The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\)
• Some properties of \(l^{p}(A,X)\) spaces
• Nontrivial isometries on \(s_ p(\)alpha)
• Properties of isometric mappings
• Isometries of the unit sphere
• Isometric additive mappings in generalized quasi-Banach spaces
• On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem
• The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space
• Isometries on the space \(s\)
• Isometries of s_p(α)
• Yueh-Gin Gung and Dr. Charles Y. Hu Award to Clarence F. Stephens for Distinguished Service to Mathematics

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