Chaos for Cowen-Douglas operators

Hou, Bingzhe; Cui, Puyu; Cao, Yang

doi:10.1090/S0002-9939-09-10046-1

Chaos for Cowen-Douglas operators
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by Bingzhe Hou, Puyu Cui and Yang Cao PDF

Proc. Amer. Math. Soc. 138 (2010), 929-936 Request permission

Abstract:

In this article, we provide a sufficient condition which gives Devaney chaos and distributional chaos for Cowen-Douglas operators. In fact, we obtain a distributionally chaotic criterion for bounded linear operators on Banach spaces.

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