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Characterisation of drop and weak drop properties for closed bounded convex sets
Published online by Cambridge University Press: 17 April 2009
Abstract
Modifying the concept underlying Daneš' drop theorem, Rolewicz introduced the notion of the drop property of a norm which was later generalised to the weak drop property of a norm. Kutzarova extended the discussion to consider the drop property for closed bounded convex sets. Here we characterise the drop and weak drop properties for such sets by upper semi-continuous and compact valued subdifferential mappings.
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- Copyright © Australian Mathematical Society 1991
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