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Fang, X.N. and Wang, J.H. (2006) Extension of Isometries between the Unit Spheres of Normed Space E and C( ), Acta Mathematica Sinica, English Series, 22, 1819-1824. http://dx.doi.org/10.1007/s10114-005-0725-z

has been cited by the following article:

• TITLE: Some Mappings on Operator Spaces

  AUTHORS: Guimei An

  KEYWORDS: Unit Sphere, Approximate Isometry, Complete Isometry

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.4, April 9, 2014

  ABSTRACT: We discuss two types of maps on operator spaces. Firstly, through example we show that there is an isometry on unit sphere of an operator space cannot be extended to be a complete isometry on the whole operator space. Secondly, we give a new characterization for complete isometry by the concept of approximate isometry.