Some necessary and sufficient conditions for Hypercyclicity Criterion

2005/08/17 by B Yousefi, H Rezaei
Mathematics · #math.FA #math.OA #msc:47A16 #msc:47L10

paper · pdf

published as Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 2, May 2005, pp. 209-216 · 8 pages, no figures, no tables

arxiv created 2005/08/17 · arxiv updated 2009/12/01

Abstract

We give necessary and sufficient conditions for an operator on a separable Hilbert space to satisfy the hypercyclicity criterion.

Related

• On the Hypercyclicity Criterion for operators of Read's type
• ε-hypercyclic operators that are not δ-hypercyclic for δ < ε
• Hypercyclic subsets
• An epsilon-hypercyclicity criterion and its application on classical\n Banach spaces
• The frequent hypercyclicity of unbounded operator