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Linear Chaos on Function Spaces
by Jimenez, John M., M.S., California State University, Fresno, 2019, 54; 27663510
Abstract (Summary)
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 |
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