Weakly compact bilinear operators among real interpolation spaces

We show a necessary and sufficient condition for weak compactness of bilinear operators interpolated by the real method. This characterization does not hold for interpolated operators by the complex method.

Detalles Bibliográficos
Autores: Cobos Díaz, Fernando, Fernández-Cabrera Marín, Luz María
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72630
Acceso en línea:https://hdl.handle.net/20.500.14352/72630
Access Level:acceso abierto
Palabra clave:517.98
Weakly compact bilinear operators
Real interpolation
Complex interpolation
Compact bilinear operators
Análisis funcional y teoría de operadores
Descripción
Sumario:We show a necessary and sufficient condition for weak compactness of bilinear operators interpolated by the real method. This characterization does not hold for interpolated operators by the complex method.