Acta mathematica scientia,Series B

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ISOMETRIES ON THE SPACE s

Fu Xiaohong   

  1. 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

Abstract:

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.

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

CLC Number: 

  • 46B04
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