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Trace class backward weighted shifts
are quasisubscalar


Author: Eungil Ko
Journal: Proc. Amer. Math. Soc. 124 (1996), 1111-1115
MSC (1991): Primary 47B38; Secondary 47A60
DOI: https://doi.org/10.1090/S0002-9939-96-03084-5
MathSciNet review: 1301509
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Abstract | References | Similar Articles | Additional Information

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

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  • [Ko1] Eungil Ko, Subscalar and quasisubscalar operators, Ph.D. thesis, Indiana University, 1993.
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  • [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

DOI: https://doi.org/10.1090/S0002-9939-96-03084-5
Received by editor(s): September 2, 1994
Additional Notes: Research partially supported by GARC
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society

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