In , Martínez-Avendaño and Zatarain-Vera  proved that hypercyclic coanalytic Toeplitz operators are subspace-hypercyclic under certain conditions. particular that the operator is universal in the sense of Glasner and Weiss) admits frequently hypercyclic vectors with irregularly visiting orbits. where is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on, in fact in the closure of the.
|Published (Last):||10 November 2006|
|PDF File Size:||8.6 Mb|
|ePub File Size:||4.99 Mb|
|Price:||Free* [*Free Regsitration Required]|
This is material I’m self studying.
 Frequently hypercyclic operators with irregularly visiting orbits
Hypercyclic operator – Wikipedia
I’m pretty new to this area of study so if there are logical lacune in my proof I’m sure there are many please let me know. In mathematicshypeecyclic functional analysisa hypercyclic operator on a Banach space X is a bounded linear operator T: The proof seems correct to me.
The hypercyclicity is a special case of broader notions of topological transitivity see topological mixingand universality.
I have no more commnets. Home Questions Tags Users Unanswered.
Email Required, but never shown. Sign up or log in Sign up using Google. Views Read Edit View history.