2026-06-29T08:14:01Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/504702024-07-12T15:54:02Zcom_20.500.14352_14col_20.500.14352_15
Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples
Palazuelos Cabezón, Carlos
Peralta Pereira, Antonio Miguel
Villanueva Díez, Ignacio
517
Strong* topology
Right topology
Dominated multilinear operators
Absolutely summing multilinear operators
2-C*-dominated and 2-JB*-triple-dominated multilinear operators
C*-algebras
JB*-triples
Grothendieck's inequality
Análisis matemático
1202 Análisis y Análisis Funcional
In recent papers, the Right mid 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).
I+D Madrid Ciencia y Tecnología project
Universidad Complutense de Madrid
Junta de Andalucía
Becas UCM 2005
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
Instituto de Matemática Interdisciplinar (IMI)
TRUE
pub
2023-06-20T10:33:11Z
2023-06-20T10:33:11Z
2009
journal article
https://hdl.handle.net/20.500.14352/50470
0039-3223
10.4064/sm192-2-3
MTM2005-00082
CCG07-UCM/ESP-2797
MTM2008-02186
SANTANDERPR34/07-15903
FQM0199
FQM1215
Palazuelos Cabezón, C., Peralta Pereira, A. M. & Villanueva Díez, I. «Factorizing Multilinear Operators on Banach Spaces, C * -Algebras and JB * -Triples». Studia Mathematica, vol. 192, n.o 2, 2009, pp. 129-46. DOI.org (Crossref), https://doi.org/10.4064/sm192-2-3.
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Polish Acad Sciencies Inst Mathematics