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Proceedings of the American Mathematical Society

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

  • [Co] John B. Conway, Subnormal operators, Research Notes in Mathematics, vol. 51, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1981. MR 634507
  • [Ko1] Eungil Ko, Subscalar and quasisubscalar operators, Ph.D. thesis, Indiana University, 1993.
  • [Ko2] ------, Operators on a finite dimensional space, preprint.
  • [MP] Mircea Martin and Mihai Putinar, Lectures on hyponormal operators, Operator Theory: Advances and Applications, vol. 39, Birkhäuser Verlag, Basel, 1989. MR 1028066
  • [Pu] Mihai Putinar, Hyponormal operators are subscalar, J. Operator Theory 12 (1984), no. 2, 385–395. MR 757441
  • [RR] Heydar Radjavi and Peter Rosenthal, Invariant subspaces, Springer-Verlag, New York-Heidelberg, 1973. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 77. MR 0367682

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Additional Information

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