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.