ArticleOriginal scientific text
Title
The Grothendieck-Pietsch domination principle for nonlinear summing integral operators
Authors 1
Affiliations
- Department of Computer Science, The University of Queensland, Brisbane, Queensland 4072, Australia
Abstract
We transform the concept of p-summing operators, 1≤ p < ∞, to the more general setting of nonlinear Banach space operators. For 1-summing operators on B(Σ,X)-spaces having weak integral representations we generalize the Grothendieck-Pietsch domination principle. This is applied for the characterization of 1-summing Hammerstein operators on C(S,X)-spaces. For p-summing Hammerstein operators we derive the existence of control measures and p-summing extensions to B(Σ,X)-spaces.
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Pages:
97-112
Main language of publication
English
Received
1995-10-30
Accepted
1997-12-01
Published
1998
Exact and natural sciences