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Extension of isometries between some \(p\)-normed spaces. (Chinese. English summary) Zbl 0973.46017

Summary: This paper discusses the extension problems of isometries between unit spheres of some subspaces of \(L^p(\Omega,X)\) \((0<p< 1)\).

MSC:

46B20 Geometry and structure of normed linear spaces
46B04 Isometric theory of Banach spaces
46E40 Spaces of vector- and operator-valued functions
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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