과제정보
연구 과제 주관 기관 : Korea Research Foundation
참고문헌
- Maryam Amyari and Ghadir Sadeghi Isometries in non-Archimedean 2-normed spaces, Preprint.
- J. A. Baker, Isometries in normed spaces, Amer. Math. Monthly 78 (1971), 655-658. https://doi.org/10.2307/2316577
- J. Choy, H.-Y. Chu and S.-H. Ku, Characterizations on the Mazur-Ulam Problem, Preprint.
- H.-Y. Chu, On the Mazur-Ulam problem in linear 2-normed spaces, J. Math. Anal. Appl. 327 (2007), 1041-1045. https://doi.org/10.1016/j.jmaa.2006.04.053
- S. Mazur, S. Ulam, Sur les transformation isometriques d'espaces vectoriels normes, C. R. Acad. Sci. Paris 194 (1932), 946-948.
- M. S. Moslehian, Gh. Sadeghi, A Mazur-Ulam theorem in non-Archimedean normed spaces, Nonlinear Anal. 69 (2008), 3405-3408. https://doi.org/10.1016/j.na.2007.09.023
- Th. M. Rassias, P. Semrl, On the Mazur-Ulam theorem and the Aleksandrov problem for unit distance preserving mapping, Proc. Amer. Math. Soc. 114 (1992), 989-993. https://doi.org/10.1090/S0002-9939-1992-1059634-1