Distributionally chaotic families of operators on Fréchet spaces
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Títol
Distributionally chaotic families of operators on Fréchet spacesData de publicació
2016Editor
American Institute of Mathematical SciencesISSN
1534-0392; 1553-5258Cita bibliogràfica
CONEJERO, J. ALBERTO, et al. Distributionally chaotic families of operators on Fréchet spaces. Communications on Pure and Applied Analysis, 2016, vol. 15, no 5, p. 1915-1939Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=12699Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C0-semigroups. In this paper we extend some previous results on ... [+]
The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C0-semigroups. In this paper we extend some previous results on both notions to sequences of operators, C0-semigroups, C-regularized semigroups, and α-times integrated semigroups on Fréchet spaces. We also add a study of rescaled distributionally chaotic C0-semigroups. Some examples are provided to illustrate all these results. [-]
Publicat a
Communications on Pure and Applied Analysis, 2016, vol. 15, no 5Drets d'accés
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