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Article . 2004
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Journal of the London Mathematical Society
Article . 2004 . Peer-reviewed
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EBERLEIN–ŠMULYAN THEOREM FOR ABELIAN TOPOLOGICAL GROUPS

Eberlein-Šmulyan theorem for Abelian topological groups
Authors: Bruguera Padró, M. Montserrat; Martín Peinador, Elena; Tarieladze, Vaja;

EBERLEIN–ŠMULYAN THEOREM FOR ABELIAN TOPOLOGICAL GROUPS

Abstract

Leaning on a remarkable paper of Pryce, the paper studies two independent classes of topological Abelian groups which are strictly angelic when endowed with their Bohr topology. Some extensions are given of the Eberlein–ˇSmulyan theorem for the class of topological Abelian groups, and finally, for a large subclass of the latter, Bohr angelicity is related to the Schur property.

Keywords

angelic spaces, Topología, Structure of general topological groups, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), 515.1, Bohr angelicity, Angelic spaces, 1210 Topología, Character groups and dual objects, Compactness in topological linear spaces; angelic spaces, etc., Topological groups (topological aspects)

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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
Average
Average
Average
Green
bronze