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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.
Advisor: | Markin, Marat |
Commitee: | Bishop, Michael, Kajetanowicz, Przemyslaw |
School: | California State University, Fresno |
Department: | Mathematics |
School Location: | United States -- California |
Source: | MAI 81/6(E), Masters Abstracts International |
Source Type: | DISSERTATION |
Subjects: | Mathematics |
Keywords: | Function spaces, Linear chaos, Rolewicz, Spectrum, Unbounded chaotic operator, Weighted shift |
Publication Number: | 27663510 |
ISBN: | 9781392871966 |