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Proceedings of the American Mathematical Society

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On the commutant of hyponormal operators

Author: Bebe Prunaru
Journal: Proc. Amer. Math. Soc. 124 (1996), 3411-3412
MSC (1991): Primary 47B20; Secondary 47D25
MathSciNet review: 1342042
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Abstract: Let $T$ be a pure hyponormal operator with compact self-commutator. We show that the unit ball of the commutant of $T^{*}$ is compact in the strong operator topology.

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Bebe Prunaru
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405; Institute of Mathematics, Romanian Academy, P.O.Box 1-764, 70700 Bucharest, Romania

Keywords: Hyponormal operators, strong operator topology, operator algebras, commutant
Received by editor(s): May 8, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society