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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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A Counterexample to the Bartle-Graves Selection Theorem for Multilinear Maps
by
Cecília S. Fernandez
Universidade Federal Fluminense

The Bartle-Graves selection theorem in the context of Banach spaces can be formulated as follows:

If E and F are Banach spaces and u : E --> F is continuous, linear and surjective, then there exists a continuous function g : F --> E such that u o g is the identity map on F.

We shall present an example showing that the multilinear version of the above theorem is false, even on finite dimensional spaces.

(T)

Date received: April 3, 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 # caei-64.