A note on linear extension of into-isometries between two unit spheres of atomic \(AL^p\)-space \((0

DOI10.1007/S10114-005-0636-ZzbMath1110.46008OpenAlexW2106219157MaRDI QIDQ2431916

Guangui Ding

Publication date: 24 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0636-z

zbMATH Keywords

unit sphereinto isometryatomic A\(^pL\)-space

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (2)

Isometries on the quasi-Banach spaces \(L^p\) \((0 < p < 1)\) ⋮ The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\)

Cites Work

• Unnamed Item
• Banach lattices
• A geometric characterization of the nonlinear Schrödinger equation
• 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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