• MAZUR-ULAM THEOREM AND TWO-ISOMETRIC MAPS
Abstract
A map from the real normed space into itself is called a two-isometry if
for all and in . It is shown that every surjective two-isometry is affine, that is,
for all and in and .
MAZUR-ULAM THEOREM AND TWO-ISOMETRIC MAPS
A map from the real normed space into itself is called a two-isometry if
for all and in . It is shown that every surjective two-isometry is affine, that is,
for all and in and .
Keywords
Mazur-Ulam Theorem; two-isometric Maps.
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