Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11008147 | Linear Algebra and its Applications | 2019 | 8 Pages |
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
Ruidong Wang, Xujian Huang,