Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples

Carlos Palazuelos, Antonio M. Peralta, and Ignacio Villanueva. "Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples." Studia Mathematica 192.2 (2009): 129-146. <http://eudml.org/doc/284513>.

@article{CarlosPalazuelos2009,
abstract = {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).},
author = {Carlos Palazuelos, Antonio M. Peralta, Ignacio Villanueva},
journal = {Studia Mathematica},
keywords = {absolutely summing multilinear operators; strong* topology; right topology; dominated multilinear operators; Grothendieck's inequality},
language = {eng},
number = {2},
pages = {129-146},
title = {Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples},
url = {http://eudml.org/doc/284513},
volume = {192},
year = {2009},
}

TY - JOUR
AU - Carlos Palazuelos
AU - Antonio M. Peralta
AU - Ignacio Villanueva
TI - Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 2
SP - 129
EP - 146
AB - 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).
LA - eng
KW - absolutely summing multilinear operators; strong* topology; right topology; dominated multilinear operators; Grothendieck's inequality
UR - http://eudml.org/doc/284513
ER -