<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The Mazur-Ulam theorem [15] has been formulated as two registrations: cluster bijective isometric -> midpoints-preserving Function of E, F; and cluster isometric midpoints-preserving -> Affine Function of E, F; A proof given by Jussi Väisälä [23] has been formalized.</p></abstract>

The Mazur-Ulam theorem [15] has been formulated as two registrations: cluster bijective isometric -> midpoints-preserving Function of E, F; and cluster isometric midpoints-preserving -> Affine Function of E, F; A proof given by Jussi Väisälä [23] has been formalized.

Mazur-Ulam Theorem

Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland

Formalized Mathematics

{"article-title":"Mazur-Ulam Theorem"}

The Mazur-Ulam theorem [15] has been formulated as two registrations: cluster bijective isometric -> midpoints-preserving Function of E, F; and cluster...

Mazur-Ulam Theorem

Published Online: Apr 26, 2012

Page range: 127 - 130

DOI: https://doi.org/10.2478/v10037-011-0020-7

This content is open access.