Rotations of Hypercyclic and Supercyclic Operators

By F. León-Saavedra, Vladimír Müller. 2004

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Hypercyclic weighted translations on groups (2011, unknown): “Hypercyclic operators have been studied by many authors; we refer to [2, 3, 5, 7, 9, 11, 12, 16, 17, 18] for some recent works.”
Recurrent Linear Operators (2013, result): “These statements are analogous to the corresponding results for hypercyclic vectors due to Ansari [3] and Müller and León-Saavedra [41].”
Hypercyclic behaviour of operators in a hypercyclic C 0 -semigroup (2007, background): “1 The first and third authors were supported in part by MEC and FEDER, Project MTM2004-02262 and Research Net MTM2006-26627-E 2 The second author was partially supported by grant No. 201/06/0128 of GA ČR”
On the spectrum of frequently hypercyclic operators (2008, background): “For hypercyclic operators acting on complex Banach spaces, this kind of stability was proved by León-Saavedra and Müller [22].”
HYPERCYCLIC OPERATORS, MIXING OPERATORS AND THE BOUNDED STEPS PROBLEM (2005, background): “Any rotation of a hypercyclic operator being hypercyclic [26], 1 λ T = I + 1 λ S is hypercyclic.”
Disjointness in hypercyclicity (2007, background): “It is also affirmative whenever λ1 = · · · = λN , by a result of León-Saavedra and Müller [20].”
Frequently recurrent operators (2020, background): “As usual, the λT -problem is closely related to the T -problem: León and Müller [31] have shown that, for any scalar λ of modulus 1, T and λT have the same hypercyclic vectors.”