Chaos for power series of backward shift operators

Martínez-Giménez, Félix

doi:10.1090/S0002-9939-07-08658-3

Chaos for power series of backward shift operators
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by Félix Martínez-Giménez PDF

Proc. Amer. Math. Soc. 135 (2007), 1741-1752 Request permission

Abstract:

We study when the operator $f(B_w)$ is chaotic in the sense of Devaney on a Köthe echelon sequence space, where $B_w$ is a weighted backward shift and $f(z)=\sum _{j=0}^\infty f_j z^j$ is a formal power series.

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