ISOMETRIES ON THE SPACE s

doi:10.1016/S0252-9602(06)60075-1

数学物理学报(英文版)

ISOMETRIES ON THE SPACE s

傅小红

南开大学数学系, 天津 300071

收稿日期:2004-09-08 修回日期:1900-01-01 出版日期:2006-07-20 发布日期:2006-07-20
通讯作者: 傅小红
基金资助:
Supported by the National Science Foundation of China (10571090) and The Research Fund for the Doctoral Program of Higher Education (20010055013).

ISOMETRIES ON THE SPACE s

Fu Xiaohong

Department of Mathematics, Nankai University, Tianjin 300071, China

Received:2004-09-08 Revised:1900-01-01 Online:2006-07-20 Published:2006-07-20
Contact: Fu Xiaohong

摘要/Abstract

摘要：

In this article, the author presents some results of the isometric linear extension from some spheres in the finite dimensional space s_(n). Moreover, the author presents the representation for the onto isometric mappings in the space s. It is obtained that if V is a surjective isometry from the space s onto s with V(0)={0}, then V must be real linear.

关键词: Isometric mapping, isometric extension, Mazur-Ulam theorem, representation

Abstract:

Key words: Isometric mapping, isometric extension, Mazur-Ulam theorem, representation

中图分类号:

46B04

傅小红. ISOMETRIES ON THE SPACE s[J]. 数学物理学报(英文版), 2006, 26(3): 502-508.

Fu Xiaohong. ISOMETRIES ON THE SPACE s[J]. Acta mathematica scientia,Series B, 2006, 26(3): 502-508.

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ISOMETRIES ON THE SPACE s

ISOMETRIES ON THE SPACE s

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