The Stinespring theorem is reformulated in terms of conditional expectations in a von Neumann algebra. A generalisation for map-valued measures is obtained.
@article{bwmeta1.element.bwnjournal-article-bcpv43i1p231bwm,
author = {Hensz-Ch\k adzy\'nska, Ewa and Jajte, Ryszard and Paszkiewicz, Adam},
title = {Dilation theorems for completely positive maps and map-valued measures},
journal = {Banach Center Publications},
volume = {43},
year = {1998},
pages = {231-239},
zbl = {0943.46038},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p231bwm}
}
Hensz-Chądzyńska, Ewa; Jajte, Ryszard; Paszkiewicz, Adam. Dilation theorems for completely positive maps and map-valued measures. Banach Center Publications, Tome 43 (1998) pp. 231-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p231bwm/
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