Dissertation/Thesis Abstract

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.

Indexing (document details)
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
Subjects: Mathematics
Keywords: Function spaces, Linear chaos, Rolewicz, Spectrum, Unbounded chaotic operator, Weighted shift
Publication Number: 27663510
ISBN: 9781392871966
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