Extension of positive maps

Authors

  • Erling Størmer

DOI:

https://doi.org/10.7146/math.scand.a-115974

Abstract

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

References

Arveson, W. B., Subalgebras of $C^ast $-algebras, Acta Math. 123 (1969), 141–224. https://doi.org/10.1007/BF02392388

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

Issue

Section

Articles