Domination and factorization of multilinear operators
Authors:
- Mieczysław Mastyło,
- Enrique A. Sánchez Pérez
Abstract
We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove that certain vector valued norm inequalities for these operators are equivalent to domination theorems. As an application we show that under some mild assumptions these domination theorems can be expressed in terms of factorization through Orlicz spaces. In the case of the multilinear functionals on C(K)-spaces we recover a multilinear variant of the Grothendieck factorization theorem. © Heldermann Verlag.
- Record ID
- UAMf0325266ae144adabf2832a3fcaf27b4
- Author
- Journal series
- Journal of Convex Analysis, ISSN 0944-6532
- Issue year
- 2013
- Vol
- 20
- Pages
- 999-1012
- ASJC Classification
- ;
- Language
- (en) English
- Score (nominal)
- 30
- Score source
- journalList
- Score
- Publication indicators
- = 3; = 4; : 2013 = 0.900; : 2013 (2 years) = 0.592 - 2013 (5 years) =0.792
- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMf0325266ae144adabf2832a3fcaf27b4/
- URN
urn:amu-prod:UAMf0325266ae144adabf2832a3fcaf27b4
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