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On the commutant of hyponormal operators
Author(s):
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  be a pure hyponormal operator with compact self-commutator. We show that the unit ball of the commutant of  is compact in the strong operator topology.
References:
- [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
Email:
bprunaru@ucs.indiana.edu
DOI:
10.1090/S0002-9939-96-03461-2
PII:
S 0002-9939(96)03461-2
Keywords:
Hyponormal operators,
strong operator topology,
operator algebras,
commutant
Received by editor(s):
May 8, 1995
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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