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On extension of isometries between unit spheres of L∞ and E
Lei Li, Weiyun Ren
Abstract
In this paper, we study the extension of isometries between the unit spheres of L∞ and a normed space E. We find a condition under which an isometric mapping between the unit spheres can be extended to a linear isometry on the whole space L∞ .
Keywords: Isometric mapping, unit sphere, L∞
Quaestiones Mathematicae 31(2008), 209–218
Keywords: Isometric mapping, unit sphere, L∞
Quaestiones Mathematicae 31(2008), 209–218
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Quaestiones Mathematicae. ISSN: 1607-3606