Article citationsMore>>

Mazur, S. and Ulam, S. (1932) Sur less transformations isométriques d’espaces vectoriels normés. Comptes Rendus de l’Académie des Sciences de Paris, 194, 946-948.

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.