6533b82afe1ef96bd128cb15
RESEARCH PRODUCT
Kadec and Krein–Milman properties
José OrihuelaAníbal MoltóStanimir TroyanskiStanimir TroyanskiManuel Valdiviasubject
Unit sphereDiscrete mathematicsMathematics::Functional AnalysisPure mathematicsBanach spaceGeneral MedicineMathematicsdescription
Abstract The main goal of this paper is to prove that any Banach space X with the Krein–Milman property such that the weak and the norm topology coincide on its unit sphere admits an equivalent norm that is locally uniformly rotund.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-09-01 | Comptes Rendus de l'Académie des Sciences - Series I - Mathematics |