Hypercyclic differentiation operators

Details Hypercyclic differentiation operators Hypercyclic differentiation operators

1999-06-28

arxiv.org/abs/math/9906199v1

Contemporary Mathematics 232 (1998), pp 39-47

Mathematics

Functional Analysis

8 pages

Scientific paper

A classical theorem due to G.D. Birkhoff states that there exists an entire
function whose translates approximate any given entire function, as accurately
as desired, over any ball of the complex plane. We show this result may be
generalized to the space of entire functions of compact bounded type defined on
a Banach space with separable dual.

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