Espacios La e integración bornológica
ISSN: 0010-0757
Argitalpen urtea: 1988
Alea: 39
Faszikulua: 1
Orrialdeak: 21-29
Mota: Artikulua
Beste argitalpen batzuk: Collectanea mathematica
Laburpena
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.