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EBERLEIN–šMULYAN THEOREM FOR ABELIAN TOPOLOGICAL GROUPS

Published online by Cambridge University Press:  01 October 2004

MONTSERRAT BRUGUERA ,
ELENA MARTÍN-PEINADOR  and
VAJA TARIELADZE
MONTSERRAT BRUGUERA
Affiliation:
Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, 08028 Barcelona, Spainm.montserrat.bruguera@upc.es
ELENA MARTÍN-PEINADOR
Affiliation:
Departamento de Geometría y Topología, Universidad Complutense de Madrid, 28040 Madrid, Spainpeinador@mat.ucm.es
VAJA TARIELADZE
Affiliation:
Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8 Akuri Str., Tbilisi 380093, Georgiatar@gw.acnet.ge
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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–šmulyan 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

22A0543A4054H11 (primary)46A1146A50 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 341 - 355
Copyright
The London Mathematical Society 2004

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Footnotes

The three authors were partially supported by DGICYT BFM 2003-05878.