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Approximation by chaotic operators on a Hilbert space
by
Juan Bes
Bowling Green State University
Coauthors: Kit C. Chan (Bowling Green State University)
Let H be a separable, infinite dimensional Hilbert space over the complex field. While the chaotic operators on H are not norm-dense in the operator algebra B(H), we show that they are dense with respect to the strong operator topology. We also show that the chaotic operators span a subspace that is norm-dense in B(H).
(T)
Date received: January 25, 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-04.