Unconditionally converging multilinear operators

Citation
F. Bombal et al., Unconditionally converging multilinear operators, MATH NACHR, 226, 2001, pp. 5-15
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
226
Year of publication
2001
Pages
5 - 15
Database
ISI
SICI code
0025-584X(2001)226:<5:UCMO>2.0.ZU;2-4
Abstract
We introduce a notion of unconditionally converging multilinear operator wh ich allows to extend many of the results of the linear case to the multilin ear case. We prove several characterizations of these multilinear operators (one of which seems to be new also in the linear case), which allow to con siderably simplify the work with this kind of operators.