Content area
Abstract
Integration of scalar-valued functions with respect to Fréchet measures (which are also known as Fn-measures or multi-measures) has been undertaken by different authors (see Blei [4,5] or Dobrakov [11-13]). In this paper we will follow the notations and conventions adopted in [5]. The purpose of this paper is to show that an inner product of vector-valued functions can be integrated with respect to a bimeasure (F 2-measure) iteratively, in a way similar to the integration of tensor products of scalar-valued functions. We will then use this theory to generalize the Grothendieck inequality to a continuous framework.
Details
Title
Generalizations and extensions of the Grothendieck inequality
Author
Bowers, Adam
Year
2007
ISBN
978-0-549-17647-3
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304863418
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
