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Prescribed compressions of dual hypercyclic operators

Author: Kit C. Chan
Journal: Proc. Amer. Math. Soc. 140 (2012), 3133-3143
MSC (2010): Primary 47A16, 47A20; Secondary 47A05
Posted: January 5, 2012
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Abstract | References | Similar Articles | Additional Information

Abstract: If is a closed subspace of a separable, infinite dimensional Hilbert space 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

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11145-1
PII: S 0002-9939(2012)11145-1
Keywords: Adjoint operator, dual hypercyclic operator, compression
Received by editor(s): March 21, 2011
Posted: January 5, 2012
Communicated by: Richard Rochberg
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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