Back to Search
Start Over
Domination spaces and factorization of linear and multilinear summing operators.
- Source :
- QM - Quaestiones Mathematicae; Dec2016, Vol. 39 Issue 8, p1071-1092, 22p
- Publication Year :
- 2016
-
Abstract
- It is well known that not every summability property for multilinear operators leads to a factorization theorem. In this paper we undertake a detailed study of factorization schemes for summing linear and nonlinear operators. Our aim is to integrate under the same theory a wide family of classes of mappings for which a Pietsch type factorization theorem holds. Our construction includes the cases of absolutelyp-summing linear operators, (p, σ)-absolutely continuous linear operators, factorable stronglyp-summing multilinear operators, (p1, . . . , pn)-dominated multilinear operators and dominated (p1, . . . , pn;σ)-continuous multilinear operators. [ABSTRACT FROM PUBLISHER]
- Subjects :
- MULTILINEAR algebra
FACTORIZATION
DOMINATING set
BANACH spaces
LINEAR algebra
Subjects
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 39
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 120328059
- Full Text :
- https://doi.org/10.2989/16073606.2016.1253627