Espacios La e integración bornológica
ISSN: 0010-0757
Year of publication: 1988
Volume: 39
Fascicle: 1
Pages: 21-29
Type: Article
More publications in: Collectanea mathematica
Abstract
The $L^\alpha$ spaces are introduced for functions valued in bornological convex spaces and their basic properties are studied. Among other questions, the completeness of these spaces is stated and their bornological duals are determined. Also, a representation theorem is proved for operators defined on them.