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https://dx.doi.org/10.48550/ar...
Article . 2017
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Relatively weakly open convex combinations of slices

Authors: Lima, Vegard; Abrahamsen, Trond Arnold;

Relatively weakly open convex combinations of slices

Abstract

We show that c 0 c_0 and, in fact, C ( K ) C(K) for any scattered compact Hausdorff space K K have the property that finite convex combinations of slices of the unit ball are relatively weakly open.

Country
Norway
Keywords

Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, convex combinations of slices, scattered compact space, relatively weakly open set, 46B04, 46B20, FOS: Mathematics, Isometric theory of Banach spaces, Functional Analysis (math.FA)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Top 10%
Average
Green
hybrid
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