A hypercyclic operator whose direct sum T+T is not hypercyclic

By M. Penilla, C. Read. 2009

140 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0f25c0852d3a76dfa236956f57458fc6df56b106

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Quentin Menet
2. Antonios Manoussos
3. Antonio Bonilla
4. L. González

Citations in the corpus

• Recurrent Linear Operators (2013, background): “question that was only recently settled, in the negative, by de la Rosa and Read [16], and also by Bayart and Matheron, [7], in classical Banach spaces.”
• Linear chaos and frequent hypercyclicity (2014, background): “ hypercyclic vectors for T [1], that each separable infinitedimensional Fréchet space supports a hypercyclic operator [16], that there exists a hypercyclic operator T such that T ⊕T is not hypercyclic [19],... In the last decade, attention has been given to the frequency with which the orbit of a hyp”