数学物理学报 ›› 2010, Vol. 30 ›› Issue (4): 1088-1093.

• 论文 • 上一篇    下一篇

两个同类的E(2)型空间线性等距映射的表现定理

梁晓斌1, 2, 黄时祥1   

  1. 1.上饶师范学院数学系 江西上饶 334000|2.安徽师范大学数学系 安徽芜湖 241000
  • 收稿日期:2008-03-19 修回日期:2009-09-22 出版日期:2010-07-25 发布日期:2010-07-25

On the Representation |of Linear Isometries between  E(2) Type Real Space

 LIANG Xiao-Bin1, 2, HUANG Shi-Xiang1   

  1. 1.Department of Mathematics, Shangrao Normal College, Jiangxi Shangrao 334000;
    2.Department of Mathematics, Anhui Normal University, Anhui Wuhu |241000
  • Received:2008-03-19 Revised:2009-09-22 Online:2010-07-25 Published:2010-07-25

摘要:

该文得到了两个同类的E(2)型空间单位球面间等距线性算子的表现定理, 这是首次在非具体范数的情形下取得此类结果.

关键词: 等距映射, 表现定理, E(2)型空间

Abstract:

In this paper, the authors give a representation of surjective isometries between the unit spheres of E(2)  type real space if  these isometries can be extended to be real linear isometries on the whole space.

Key words: Isometry, Representation, E(2) space

中图分类号: 

  • 46B20