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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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On the dual algebras generated by spherical contractions
by
Flavius Turcu
Universitatea de Vest din Timisoara, Romania

We obtain different factorisation properties in the predual of the dual algebra generated by a spherical (multi) contraction T=(T1, ...Tn) acting on a Hilbert space H, in connection with the dominancy in the unit ball of Cn of certain parts of the Harte spectrum of T. These result are extensions of their (already classic) one variable versions.

Date received: June 13, 2002

Copyright © 2002 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 # caiz-66.