Trace class backward weighted shifts are quasisubscalar
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- by Eungil Ko PDF
- Proc. Amer. Math. Soc. 124 (1996), 1111-1115 Request permission
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
- John B. Conway, Subnormal operators, Research Notes in Mathematics, vol. 51, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1981. MR 634507
- Eungil Ko, Subscalar and quasisubscalar operators, Ph.D. thesis, Indiana University, 1993.
- —, Operators on a finite dimensional space, preprint.
- Mircea Martin and Mihai Putinar, Lectures on hyponormal operators, Operator Theory: Advances and Applications, vol. 39, Birkhäuser Verlag, Basel, 1989. MR 1028066, DOI 10.1007/978-3-0348-7466-3
- Mihai Putinar, Hyponormal operators are subscalar, J. Operator Theory 12 (1984), no. 2, 385–395. MR 757441
- Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77, Springer-Verlag, New York-Heidelberg, 1973. MR 0367682
Additional Information
- Received by editor(s): September 2, 1994
- Additional Notes: Research partially supported by GARC
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- 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