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Frequent Hypercyclicity of Random Entire Functions for the Differentiation Operator

, 2012
We study the random entire functions defined as power series $$f(z) = \sum _{n=0}^\infty (X_n/n!) z^n$$f(z)=∑n=0∞(Xn/n!)zn with independent and identically distributed coefficients $$(X_n)$$(Xn) and show that, under very weak assumptions, they are ...
Miika Nikula
semanticscholar   +1 more source

CYCLICITY AND UNICELLULARITY OF THE DIFFERENTIATION OPERATOR ON BANACH SPACES OF FORMAL POWER SERIES

Mathematical Proceedings of the Royal Irish Academy, 2005
On most of the classical Banach function spaces the differentiation operator is closed and densely defined, but unbounded. On certain weighted sequence spaces, however, it can be presented as an everywhere-defined and bounded linear operator.
B. Yousefi, A. I. Kashkuli
semanticscholar   +1 more source

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