Porosity and hypercyclic operators-Reference-Cited by-同舟云学术

Porosity and hypercyclic operators

Published:2005-05-09 Issue:11 Volume:133 Page:3309-3316
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bayart Frédéric

Abstract

We study if the set of hypercyclic vectors of a hypercyclic operator is the complement of a σ \sigma -porous set. This leads to interesting results for both points of view: a limitation of the size of hypercyclic vectors, and new examples of first category sets which are not σ \sigma -porous.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-11/S0002-9939-05-07842-1/S0002-9939-05-07842-1.pdf

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