Vector integration and the Grothendieck inequality

Adam Bowers

Studia Mathematica (2010)

  • Volume: 198, Issue: 1, page 85-103
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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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 -

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