Article ID Journal Published Year Pages File Type
11008147 Linear Algebra and its Applications 2019 8 Pages PDF
Abstract
In this paper, we show that if X is a two-dimensional real normed space such that its unit sphere contains a line segment with the distance between its endpoints being greater than 1, then X has the Mazur-Ulam property. That is, every isometry from the unit sphere of X onto the unit sphere of any normed space Y can be extended to a linear isometry from X onto Y.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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