On a class of super-recurrent operators
Abstract
In this paper, we introduce and study the notion of super-recurrence of operators.
We investigate some properties of this class of operators and show that it shares some characteristics with supercyclic and recurrent operators.
In particular, we show that if $T$ is super-recurrent, then $\sigma(T)$ and $\sigma_p(T^*)$,
the spectrum of $T$ and the point spectrum of $T^*$ respectively,
have some noteworthy properties.
We investigate some properties of this class of operators and show that it shares some characteristics with supercyclic and recurrent operators.
In particular, we show that if $T$ is super-recurrent, then $\sigma(T)$ and $\sigma_p(T^*)$,
the spectrum of $T$ and the point spectrum of $T^*$ respectively,
have some noteworthy properties.
Refbacks
- There are currently no refbacks.