We show that, in the spaces Lp(0, ∞) (1 ≤ p < ∞), the bounded weighted backward shift operator (Tx)(t) = wx(t + a) and its unbounded counterpart (Tx)(t) = wtx(t + a) (w > 1 and a > 0) are chaotic. We also extend the unbounded case to the space C0[0, ∞) and analyze the spectral structure of the operators in both spaces provided the latter are complex.
|Commitee:||Bishop, Michael, Kajetanowicz, Przemyslaw|
|School:||California State University, Fresno|
|School Location:||United States -- California|
|Source:||MAI 81/6(E), Masters Abstracts International|
|Keywords:||Function spaces, Linear chaos, Rolewicz, Spectrum, Unbounded chaotic operator, Weighted shift|
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