On maps which preserve equality of distance in F-spaces
Functional Analysis
2007-09-25 v1 Metric Geometry
Abstract
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.
Cite
@article{arxiv.0709.3620,
title = {On maps which preserve equality of distance in F-spaces},
author = {Dongni Tan},
journal= {arXiv preprint arXiv:0709.3620},
year = {2007}
}
Comments
11 pages, 385 figures