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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.
Adam Bowers. "Vector integration and the Grothendieck inequality." Studia Mathematica 198.1 (2010): 85-103. <http://eudml.org/doc/285597>.
@article{AdamBowers2010, abstract = {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.}, author = {Adam Bowers}, journal = {Studia Mathematica}, keywords = {vector measure; bimeasure; Grothendieck constant}, language = {eng}, number = {1}, pages = {85-103}, title = {Vector integration and the Grothendieck inequality}, url = {http://eudml.org/doc/285597}, volume = {198}, year = {2010}, }
TY - JOUR AU - Adam Bowers TI - Vector integration and the Grothendieck inequality JO - Studia Mathematica PY - 2010 VL - 198 IS - 1 SP - 85 EP - 103 AB - 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. LA - eng KW - vector measure; bimeasure; Grothendieck constant UR - http://eudml.org/doc/285597 ER -