NONEXPANSIVE MAPPINGS AND EXPANSIVE MAPPINGS ON THE UNIT SPHERES OF SOME F-SPACES
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Publication:3579990
DOI10.1017/S0004972710000109zbMath1198.47073MaRDI QIDQ3579990
Publication date: 11 August 2010
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
nonexpansive mappingisometric extensionexpansive mappingTingley's problem\(\ell ^{\beta }(\Gamma )\) spaces
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Extension of isometries between the unit spheres of \(p\)-normed spaces ⋮ How to recognize nonexpansive mappings and isometric mappings ⋮ Extension of quasi-Hölder embeddings between unit spheres of \(p\)-normed spaces ⋮ On extension of isometries on the unit spheres of \(L^p\)-spaces for \(0 < p \leq 1\) ⋮ Extension of isometries on the unit sphere of \(L^p\) spaces ⋮ Sharp corner points and isometric extension problem in Banach spaces
Cites Work
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