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Mathematische Zeitschrift
Article . 1986 . Peer-reviewed
License: Springer TDM
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Mathematische Zeitschrift
Article . 1987 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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Article . 1986
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On the facial structure of the unit ball of aGM-Space

On the facial structure of the unit ball of a GM-space
Authors: Edwards, C.M.; Rüttimann, G.T.;

On the facial structure of the unit ball of aGM-Space

Abstract

The set of norm semi-exposed faces of the unit ball \(V_ 1\) in a GM- space is identified in the case in which V satisfies a certain filtering condition and \(V^*\), the dual of V, satisfies the Alfsen-Shultz condition. The class of partially ordered Banach spaces to which the result applies includes all strongly spectral GM-spaces and therefore all JB-algebras.

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Germany, United Kingdom
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Keywords

partially ordered Banach spaces, Jordan structures on Banach spaces and algebras, Nonassociative topological algebras, Convex sets in topological linear spaces; Choquet theory, Topological algebras, normed rings and algebras, Banach algebras, Alfsen-Shultz condition, JB-algebras, Article, 510.mathematics, Geometry and structure of normed linear spaces, JB- algebras, projective faces, strongly spectral GM-spaces, GL-space, norm semi-exposed faces of the unit ball, norm semi-exposed faces

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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!
2
Average
Average
Average
Green
bronze
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