Porosity and hypercyclic operators

Frédéric Bayart

Source record

Source: Crossref

Published: May 9, 2005

DOI: 10.1090/s0002-9939-05-07842-1

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Source 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.

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