Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 510-520.

• Articles • Previous Articles     Next Articles

Extension of Isometries on the Unit Sphere of Lp Space

HU Rui   

  1. School of Mathematics and Statistics, Nanjing Audit University, Nanjing 211815
  • Received:2010-08-21 Revised:2011-10-12 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    南京审计学院人才引进项目(NSRC11012)资助

Abstract:

In this paper, the author prove that every isometry from the unit sphere of Lp space (1p≠2) onto the unit sphere of a Banach space E can be extended to be a (real) linear isometry of Lp onto E.

Key words: Isometric extension, Lp space, Linear isometry, Unit sphere

CLC Number: 

  • 46A22
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