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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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The Schur property for topological groups
by
Xabier Domínguez-Pérez
University of A Coruña
Coauthors: Vaja Tarieladze (Georgian Academy of Sciences)

Banach spaces having the Schur property (i. e. coincidence of weakly and norm-convergent sequences) play an important role in Functional Analysis. The generalization of this property to topological Abelian groups is rather natural and we prove (recovering the classical result for l1) that if a topological Abelian group has the Schur property then, topologized in a natural way, the group of summable sequences with values in the given group also has the same property.

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Date received: January 11, 2000

Copyright © 2000 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 # cado-92.