• MAZUR-ULAM THEOREM AND TWO-ISOMETRIC MAPS

K. Hedayatian*

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 .

Mazur-Ulam Theorem; two-isometric Maps.

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