A Mazur–Ulam theorem in non-Archimedean normed spaces

详细信息    查看全文

• 作者：Mohammad Sal Moslehian ; Ghadir Sadeghi
• 关键词：Isometry ; Mazur– ; Ulam theorem ; ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4PRRBH9-2&_mathId=mml1&_user=10&_cdi=5659&_pii=S0362546X07006487&_rdoc=19&_issn=0362546X&_acct=C000
• 刊名：Nonlinear Analysis
• 出版年：2008
• 出版时间：15 November 2008
• 年：2008
• 卷：69
• 期：10
• 页码：3405-3408
• 全文大小：200 K

文摘

The classical Mazur–Ulam theorem which states that every surjective isometry between real normed spaces is affine is not valid for non-Archimedean normed spaces. In this paper, we establish a Mazur–Ulam theorem in the non-Archimedean strictly convex normed spaces.