TL;DR
This paper provides a concise proof of the Mazur-Ulam theorem, which characterizes isometries of real normed spaces, simplifying understanding of their structure.
Contribution
The paper introduces a shorter, more accessible proof of the Mazur-Ulam theorem, enhancing clarity and pedagogical value.
Findings
Isometries of real normed spaces are affine transformations.
The proof simplifies previous approaches to the theorem.
Clarifies the structure of isometries in normed spaces.
Abstract
A short proof of the Mazur-Ulam theorem concerning isometries of real normed spaces.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Mathematics and Applications