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REPRESENTATIONS OF WEAK AND STRONG INTEGRALS IN BANACH SPACES

We establish a representation of the Gelfand-Pettis (weak) integral in terms of unconditionally convergent series. Moreover, absolute convergence of the series is a necessary and sufficient condition in order that the weak integral coincide with the Bochner integral. Two applications of the represen...

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Bibliografiska uppgifter
Huvudupphovsman: Brooks, James K.
Materialtyp: Artigo
Språk:Inglês
Publicerad: 1969
Ämnen:
Länkar:https://ncbi.nlm.nih.gov/pmc/articles/PMC223557/
https://ncbi.nlm.nih.gov/pubmed/16591755
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