Espacios La e integración bornológica

  1. Ballvé, María E.
Revista:
Collectanea mathematica

ISSN: 0010-0757

Ano de publicación: 1988

Volume: 39

Fascículo: 1

Páxinas: 21-29

Tipo: Artigo

Outras publicacións en: Collectanea mathematica

Resumo

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.