Invariant subspaces for polynomially hyponormal operators
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- by Bebe Prunaru PDF
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Abstract:
We show that if $T$ is a bounded operator on a Hilbert space such that $p(T)^*p(T)-p(T)p(T)^*\geq 0$ for every polynomial $p$, then $T$ has a nontrivial invariant subspace.References
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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
- Received by editor(s): October 30, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1689-1691
- MSC (1991): Primary 47A15, 47B20; Secondary 47D25, 47D27
- DOI: https://doi.org/10.1090/S0002-9939-97-03980-4
- MathSciNet review: 1402884