Hypercyclic operators on countably dimensional spaces

According to Grivaux, the group $GL(X)$ of invertible linear operators on a separable infinite dimensional Banach space $X$ acts transitively on the set $\Sigma(X)$ of countable dense linearly independent subsets of $X$. As a consequence, each $A\in \Sigma(X)$ is an orbit of a hypercyclic operator o...

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Hauptverfasser:	Schenke, Andre, Shkarin, Stanislav
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems Mathematics - Functional Analysis
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