Some Mappings on Operator Spaces

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.

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An, G. (2014) Some Mappings on Operator Spaces. Advances in Pure Mathematics, 4, 98-102. doi: 10.4236/apm.2014.44016.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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