Li-Yorke chaotic weighted composition operators
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https://riunet.upv.es/handle/10251/213267
Cita bibliográfica
Bernardes-Junior, NDC.; Vasconcellos, FM. (2024). Li-Yorke chaotic weighted composition operators. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 119. https://doi.org/10.1007/s13398-024-01678-w
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[EN] We establish complete characterizations of the notion of Li-Yorke chaos for weighted composition operators on C-0(X) spaces and on L-p(mu) spaces. As a consequence, we obtain simple characterizations of the Li-Yorke chaotic weighted shifts on c(0) and on l(p) (1 <= p < infinity) that complement previously known results. We also investigate the notion of Li-Yorke chaos for weighted shifts on Frechet sequence spaces. As applications, we obtain characterizations of the Li-Yorke chaotic weighted shifts on K & ouml;the sequence spaces depending only on the entries of the Kothe matrix and the weights of the shift.
Fuente
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas issn: 1578-7303
