On the commutant of hyponormal operators
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- by Bebe Prunaru PDF
- Proc. Amer. Math. Soc. 124 (1996), 3411-3412 Request permission
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
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- V. I. Lomonosov, A construction of an intertwining operator, Funktsional. Anal. i Prilozhen. 14 (1980), no. 1, 67–68 (Russian). MR 565106
- Joseph G. Stampfli and Bhushan L. Wadhwa, An asymmetric Putnam-Fuglede theorem for dominant operators, Indiana Univ. Math. J. 25 (1976), no. 4, 359–365. MR 410448, DOI 10.1512/iumj.1976.25.25031
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
- Email: bprunaru@ucs.indiana.edu
- Received by editor(s): May 8, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3411-3412
- MSC (1991): Primary 47B20; Secondary 47D25
- DOI: https://doi.org/10.1090/S0002-9939-96-03461-2
- MathSciNet review: 1342042