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Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces

arXiv:1206.4839 · doi:10.1016/j.jmaa.2012.06.031

Abstract

We prove that an onto isometry between unit spheres of finite-dimensional polyhedral Banach spaces extends to a linear isometry of the corresponding spaces.

10 pages, to appear in J. Math. Anal. Appl