Quasi completely continuous multilinear operators

We introduce the concept of quasi-completely continuous multilinear operators and use this concept to characterize, for a wide class of Banach spaces X1, …, Xk, the multilinear operators T : X1 × … × Xk → X with an X-valued Aron–Berner extension.

Detalles Bibliográficos
Autores: Villanueva Díez, Ignacio, Peralta Pereira, Antonio Miguel, Wright, J. D. Maitland, Ylinen, Kari
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/41911
Acceso en línea:https://hdl.handle.net/20.500.14352/41911
Access Level:acceso abierto
Palabra clave:517.98
Multilinear operator
Aron–Berner extension
Quasi-completely continuous operators
Análisis funcional y teoría de operadores
Descripción
Sumario:We introduce the concept of quasi-completely continuous multilinear operators and use this concept to characterize, for a wide class of Banach spaces X1, …, Xk, the multilinear operators T : X1 × … × Xk → X with an X-valued Aron–Berner extension.