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Frequently hypercyclic translation semigroups. (English) Zbl 1341.47007

In a first part, the authors study weighted pseudo-shifts acting on spaces of vanishing sequences and derive criteria for sequences of such operators to be frequently universal. In a second part, frequently hypercyclic translation semigroups \(T\) are discussed. One of the results tells us that, if \(T\) is mixing (or chaotic) on \(C_0^\rho(\mathbb R)\) (where \(\rho\) is a certain weight), then it is frequently hypercyclic.

MSC:

47A16 Cyclic vectors, hypercyclic and chaotic operators
47D06 One-parameter semigroups and linear evolution equations
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References:

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