On maps which preserve equality of distance in F-spaces

Details On maps which preserve equality of distance in F-spaces On maps which preserve equality of distance in F-spaces

2007-09-23

arxiv.org/abs/0709.3620v1

Mathematics

Functional Analysis

11 pages, 385 figures

Scientific paper

In order to generalize the results of Mazur-Ulam and Vogt, we shall prove
that any map T which preserves equality of distance with T(0)=0 between two
F-spaces without surjective condition is linear. Then, as a special case linear
isometries are characterized through a simple property of their range.

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