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Trace class backward weighted shifts are quasisubscalar
Author(s):
Eungil
Ko
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1111-1115.
MSC (1991):
Primary 47B38;
Secondary 47A60
MathSciNet review:
1301509
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Abstract:
Recently, the author generalized Putinar techniques. In this paper we use those recent techniques and results to show (Theorem 3.1) that every trace class backward weighted shift with a monotone decreasing weight sequence is quasisubscalar.
References:
- [Co]
- J. B. Conway, Subnormal operators, Pitman, London, 1981. MR 83i:47030
- [Ko1]
- Eungil Ko, Subscalar and quasisubscalar operators, Ph.D. thesis, Indiana University, 1993.
- [Ko2]
- ------, Operators on a finite dimensional space, preprint.
- [MP]
- M. Martin and M. Putinar, Lectures on hyponormal operators, Birkhauser, Basel and Boston, 1989. MR 91c:47041
- [Pu]
- M. Putinar, Hyponormal operators are subscalar, J. Operator Theory, 12, (1984), 385--395. MR 85h:47027
- [RR]
- H. Radjavi and P. Rosenthal, Invariant subspaces, Springer-Verlag, Berlin, Heidelberg, and New York, 1973. MR 51:3924
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Additional Information:
Eungil
Ko
Affiliation:
Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea
DOI:
10.1090/S0002-9939-96-03084-5
PII:
S 0002-9939(96)03084-5
Received by editor(s):
September 2, 1994
Additional Notes:
Research partially supported by GARC
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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