We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Ideals of multilinear mappings via Orlicz spaces and translation invariant operators.
- Authors
Mastyło, Mieczysław; Sánchez Pérez, Enrique A.
- Abstract
We study some new summability properties of multilinear operators. We introduce the concepts of φ‐summing, φ semi‐integral and φ‐dominated multilinear maps generated by Orlicz functions. We prove a variant of Pietsch's domination theorem for φ‐summing operators, providing also a characterization of φ‐dominated operators in terms of factorizations. We analyze vector‐valued inequalities associated to these maps, which are applied to obtain general variants of multiple summing operators. We also study translation invariant multilinear operators acting in products of spaces of continuous functions, proving that a factorization theorem can be obtained for them as a consequence of a suitable representation of the corresponding normalized Haar measure.
- Subjects
ORLICZ spaces; HAAR integral; MULTILINEAR algebra; FUNCTION spaces; CONTINUOUS functions
- Publication
Mathematische Nachrichten, 2021, Vol 294, Issue 5, p956
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.201900380