Published January 11, 2021
| Version v1
Publication
Optimal extensions for positive order continuous operators on Banach functions spaces
Description
In this paper we give conditions under which a positive order
continuous operator T defined on a Banach function space can be extended, preserving
the order continuity in a certain optimal way. The optimal domain for T turns out to
be a space of weakly integrable functions with respect to a vector measure (defined on
a δ-ring) canonically associated to T. A similar result is obtained when T is σ-order
continuous and we want to preserve the σ-order continuity. We apply these results to
kernel operators.
Abstract
Ministerio de Economía y Competitividad MTM2012-36732- C03-03Abstract
Junta de Andalucía FQM-262Abstract
Junta de Andalucía FQM-4643Abstract
Junta de Andalucía FQM-7276Additional details
Identifiers
- URL
- https://idus.us.es/handle//11441/103503
- URN
- urn:oai:idus.us.es:11441/103503