Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502981 | Journal of Mathematical Analysis and Applications | 2005 | 11 Pages |
Abstract
This paper deals with the unilateral backward shift operator T on a Bargmann space F(C). This space can be identified with the sequence space â2(N). We use the hypercyclicity criterion of Bès, Chan, and Seubert and the program of K.-G. Grosse-Erdmann to give a necessary and sufficient condition in order that T be a chaotic operator. The chaoticity of differentiation which correspond to the annihilation operator in quantum radiation field theory is in view, since the Bargmann space is an infinite-dimensional separable complex Hilbert space.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
H. Emamirad, G.S. Heshmati,