Porosity and hypercyclic operators
Copyright policy )Porosity and hypercyclic operators
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.
- University of Bordeaux France
- University of Bordeaux France
backward shifts, \(\sigma\)-porous sets, Cyclic vectors, hypercyclic and chaotic operators, Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, \(F\)-spaces, hypercyclic operators
backward shifts, \(\sigma\)-porous sets, Cyclic vectors, hypercyclic and chaotic operators, Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, \(F\)-spaces, hypercyclic operators
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