We relate the Grothendieck inequality to the theory of vector measures and show that the integral of an inner product with respect to a bimeasure can be computed in an iterative way. We then show an application to the theory of bounded linear operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-6,
author = {Adam Bowers},
title = {Vector integration and the Grothendieck inequality},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {85-103},
zbl = {1205.46024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-6}
}
Adam Bowers. Vector integration and the Grothendieck inequality. Studia Mathematica, Tome 196 (2010) pp. 85-103. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-1-6/