On the A. D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem

Authors
Rassias, TM
Citation
Tm. Rassias, On the A. D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem, NONLIN ANAL, 47(4), 2001, pp. 2597-2608
Citations number
17
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
4
Year of publication
2001
Pages
2597 - 2608
Database
ISI
SICI code
0362-546X(200108)47:4<2597:OTADAP>2.0.ZU;2-K
Abstract
In this article some relations between linearity and isometry are investiga ted in the spirit of the problem of A. D. Aleksandrov and the Mazur-Ulam th eorem for mappings which preserve some distance.