Invariant manifolds of hypercyclic vectors-Reference-Cited by-同舟云学术

Invariant manifolds of hypercyclic vectors

Published:1993 Issue:3 Volume:118 Page:845-847
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bourdon Paul S.

Abstract

We show that any hypercyclic operator on Hilbert space has a dense, invariant linear manifold consisting, except for zero, entirely of hypercyclic vectors.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-118-03/S0002-9939-1993-1148021-4/S0002-9939-1993-1148021-4.pdf

Reference15 articles.

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2. An operator on a separable Hilbert space with many hypercyclic vectors;Beauzamy, Bernard;Studia Math.,1987

3. An operator on a separable Hilbert space with all polynomials hypercyclic;Beauzamy, Bernard;Studia Math.,1990

4. Cyclic composition operators on 𝐻²;Bourdon, Paul S.,1990

5. \bysame, Cyclic phenomena for composition operators (in preparation).

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