Author:
Bermúdez Teresa,Bonilla Antonio,Peris Alfredo
Abstract
We show that the Hypercyclicity Criterion coincides with other existing hypercyclicity criteria and prove that a wide class of hypercyclic operators satisfy the Criterion. The results obtained extend or improve earlier work of several authors. We also unify the different versions of the Supercyclicity Criterion and show that operators with dense generalised kernel and dense range are supercyclic.
Publisher
Cambridge University Press (CUP)
Reference26 articles.
1. On linear operators having supercyclic vectors
2. On orbits of elements
3. Hypercyclicity criteria and the Mittag-Leffler theorem;Peris;Bull. Soc. Roy. Sci. Liège,2001
4. Zwei Kleine Bemerkungen;Pál;Tôhoku Math. J.,1914
5. Supercyclic Subspaces: Spectral Theory and Weighted Shifts
Cited by
44 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献