Extension of positive maps

  • Erling Størmer

Abstract

We prove an extension theorem for positive maps from operator systems into matrix algebras

References

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Bhatia, R., Positive definite matrices, Princeton Series in Applied Mathematics, Princeton University Press, Princeton, NJ, 2007.

Davidson, K. and Paulsen, V., An example of a non-extendible positive map on a subsystem of the matrices, personal communication, 2020.

Paulsen, V., Completely bounded maps and operator algebras, Cambridge Studies in Advanced Mathematics, vol. 78, Cambridge University Press, Cambridge, 2002.

Størmer, E., Extension of positive maps into $B(mathcal H)$, J. Funct. Anal. 66 (1986), no. 2, 235–254. https://doi.org/10.1016/0022-1236(86)90072-8

Størmer, E., Positive linear maps of operator algebras, Springer Monographs in Mathematics, Springer, Heidelberg, 2013. https://doi.org/10.1007/978-3-642-34369-8

Published
2020-05-06
How to Cite
Størmer, E. (2020). Extension of positive maps. MATHEMATICA SCANDINAVICA, 126(2), 256-258. https://doi.org/10.7146/math.scand.a-115974
Section
Articles