Factorization of Operators Through Orlicz Spaces

We study factorization of operators between quasi-Banach spaces. We prove the equivalence between certain vector norm inequalities and the factorization of operators through Orlicz spaces. As a consequence, we obtain the Maurey–Rosenthal factorization of operators into L p -spaces. We give several a...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2017-10, Vol.40 (4), p.1653-1675
Main Authors: Mastyło, M., Sánchez Pérez, E. A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Factorization
Mathematics
Mathematics and Statistics
Operators
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study factorization of operators between quasi-Banach spaces. We prove the equivalence between certain vector norm inequalities and the factorization of operators through Orlicz spaces. As a consequence, we obtain the Maurey–Rosenthal factorization of operators into L p -spaces. We give several applications. In particular, we prove a variant of Maurey’s Extension Theorem.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-015-0158-5