On locally quasi-convex groups
by
Elena Martín-Peinador
Universidad Complutense de Madrid
Coauthors: M. J. Chasco (Universidad de Navarra, Spain), V. Tarieladze (Georgian Academy od Sciences)

It is natural to consider which properties of topological vector spaces can be extended to the larger class of abelian topological groups. It is clear that "linearity" will not be an available tool for these purposes.Thus, new approaches have to be provided.

In previous work we developed a duality theory for abelian topological groups, whose main pattern was the well-known duality theory for topological vector spaces. We also studied analogs to the Grothendieck completeness theorem for topological abelian groups.

In this talk we shall be mainly concerned with Dunford-Pettis type properties and their analogs for groups.

Date received: May 14, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagw-34.