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

• Autorzy: Carlos Palazuelos , Antonio M. Peralta , Ignacio Villanueva
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 46L70: Nonassociative selfadjoint operator algebras
• 46L05: General theory of C * -algebras
• 46G25: (Spaces of) multilinear mappings, polynomials
• 17C65: Jordan structures on Banach spaces and algebras
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)
• 47H60: Multilinear and polynomial operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 2
• Strony: 129-146

Daty

wydano

2009

Twórcy

autor

Carlos Palazuelos

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

autor

Antonio M. Peralta

• Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

autor

Ignacio Villanueva

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

Identyfikatory

DOI

10.4064/sm192-2-3