Proceedings of the American Mathematical Society

Author(s): T. L. Miller; V. G. Miller
Journal: Proc. Amer. Math. Soc. 127 (1999), 1029-1037.
MSC (1991): Primary 47B40, 47B99
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Abstract: For $T\in \mathcal{L}(X)$ , we give a condition that suffices for $\varphi(T)$ to be hypercyclic where $\varphi$ is a nonconstant function that is analytic on the spectrum of

. In the other direction, it is shown that a property introduced by E. Bishop restricts supercyclic phenomena: if $T\in \mathcal{L}(X)$ is finitely supercyclic and has Bishop's property $(\beta)$ , then the spectrum of

is contained in a circle.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47B40, 47B99

T. L. Miller
Affiliation: Department of Mathematics, Mississippi State University, Drawer MA, Mississippi State, Mississippi 39762
Email: miller@math.msstate.edu

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