Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
Copyright policy )Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
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
- University of Granada Spain
- University of Granada (UGR) Spain
- V.N. Karazin Kharkiv National University Ukraine
Banach space, Polyhedral space, Applied Mathematics, 46B04, 46B20, smooth point, Tingley's problem, Functional Analysis (math.FA), Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, Extension of isometries, FOS: Mathematics, Isometric theory of Banach spaces, Tingley’s problem, extension of isometries, polyhedral space, Analysis
Banach space, Polyhedral space, Applied Mathematics, 46B04, 46B20, smooth point, Tingley's problem, Functional Analysis (math.FA), Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, Extension of isometries, FOS: Mathematics, Isometric theory of Banach spaces, Tingley’s problem, extension of isometries, polyhedral space, Analysis
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