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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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Approximately reflexive algebras
by
Bebe Prunaru
Institute of Mathematics of the Romanian Academy, Bucharest, Romania

If H is a complex Hibert space and A is a norm closed unital and separable subalgebra of B(H), one denotes by ApprAlgLat A the set of all operators S in B(H) for which every sequence of almost invariant projections for A is also almost invariant for S. The algebra A is said to be approximately reflexive if A=ApprAlgLat A. We develop a method which relates the approximate reflexivity of a given operator algebra A to the reflexivity of the weak* closure of its image under a certain representation. This method is used to provide new examples of approximately reflexive algebras.

Date received: May 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-10.