In recent papers, the Right and the Strong* topologies have been introduced and studied on general Banach spaces. We characterize different types of continuity for multilinear operators (joint, uniform, etc.) with respect to the above topologies. We also study the relations between them. Finally, in the last section, we relate the joint Strong*-to-norm continuity of a multilinear operator T defined on C*-algebras (respectively, JB*-triples) to C*-summability (respectively, JB*-triple-summability).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-2-3,
author = {Carlos Palazuelos and Antonio M. Peralta and Ignacio Villanueva},
title = {Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples},
journal = {Studia Mathematica},
volume = {192},
year = {2009},
pages = {129-146},
zbl = {1172.46031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-2-3}
}
Carlos Palazuelos; Antonio M. Peralta; Ignacio Villanueva. Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples. Studia Mathematica, Tome 192 (2009) pp. 129-146. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-2-3/