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Some invariant subspaces for subnormal operators
Authors:Scott W Brown
Institution:(1) Department of Mathematics, University of California, 93106 Santa Barbara, CA, USA
Abstract:A theorem of D.E. Sarason is used to show that all subnormal operators have nontrivial invariant subspaces if some very special subnormal operators have them. It is then shown that these special subnormal operators as well as certain other operators do in fact have nontrivial invariant subspaces.
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