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.

Detalhes bibliográficos
Autores: Cobos Díaz, Fernando, Fernández-Cabrera Marín, Luz María
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72630
Acesso em linha:https://hdl.handle.net/20.500.14352/72630
Access Level:acceso abierto
Palavra-chave:517.98
Weakly compact bilinear operators
Real interpolation
Complex interpolation
Compact bilinear operators
Análisis funcional y teoría de operadores
Descrição
Resumo: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.