Prescribed compressions of dual hypercyclic operators
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Abstract:
If $M$ is a closed subspace of a separable, infinite dimensional Hilbert space $H$ with dim $(H/M) = \infty$, then we show that every bounded linear operator $A: M \rightarrow M$ is the compression of a dual hypercyclic operator $T:H\rightarrow H.$References
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Additional Information
- Kit C. Chan
- Affiliation: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
- Email: kchan@bgsu.edu
- Received by editor(s): March 21, 2011
- Published electronically: January 5, 2012
- Communicated by: Richard Rochberg
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3133-3143
- MSC (2010): Primary 47A16, 47A20; Secondary 47A05
- DOI: https://doi.org/10.1090/S0002-9939-2012-11145-1
- MathSciNet review: 2917086