Erratum to: Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1≤p≤q Weak* compactness of the closed unit ball of a Köthe dual space

Let X be a saturated Banach function space and denote by X′ its Köthe dual. In the paper (Delgado and Sánchez Pérez in Positivity 20:999–1014, 2016) referenced in the title it is implicitly used that the closed unit ball BX′ of X′ is compact for the topology σ(X′,X) on X′ defined by the elements of...

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Detalles Bibliográficos
Autores: Delgado Garrido, Olvido, Sánchez Pérez, E. A.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/103434
Acceso en línea:https://hdl.handle.net/11441/103434
https://doi.org/10.1007/s11117-017-0473-1
Access Level:acceso abierto
Palabra clave:Banach function space
Köthe dual
Weak* compactness
σ-Order continuity
Descripción
Sumario:Let X be a saturated Banach function space and denote by X′ its Köthe dual. In the paper (Delgado and Sánchez Pérez in Positivity 20:999–1014, 2016) referenced in the title it is implicitly used that the closed unit ball BX′ of X′ is compact for the topology σ(X′,X) on X′ defined by the elements of X. This fact could be not true in general if X is not σ-order continuous.