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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.

References [Enhancements On Off] (What's this?)

  • [BS] C.A. Berger and B.I. Shaw, Selfcommutators of multicyclic hyponormal operators are always trace-class, Bull. Amer. Math. Soc. 79 (1973), 1193-1199. MR 51:11168
  • [L] V. Lomonosov, A construction of an intertwining operator, Funktsional. Anal. i Prilozhen. 14 (1980), 67--68; English transl. in Functional Anal. Appl. 14 (1980), 54--55. MR 81k:47032
  • [SW] J.G. Stampfli and B.L. Wadhwa, An asymmetric Putnam-Fuglede theorem for dominant operators, Indiana Univ. Math. J. 25 (1976), 359-365. MR 53:14197

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Additional Information

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

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