کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900138 | 1631557 | 2018 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Distributional chaos for operators on Banach spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Four notions of distributional chaos, namely DC1, DC2, DC212 and DC3, are studied within the framework of operators on Banach spaces. It is known that, for general dynamical systems, DC1 â DC2 â DC212 â DC3. We show that DC1 and DC2 coincide in our context, which answers a natural question. In contrast, there exist DC212 operators which are not DC2. Under the condition that there exists a dense set X0âX such that Tnxâ0 for any xâX0, DC3 operators are shown to be DC1. Moreover, we prove that any upper-frequently hypercyclic operator is DC212. Finally, several examples are provided to distinguish between different notions of distributional chaos, Li-Yorke chaos and irregularity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 2, 15 March 2018, Pages 797-821
Journal: Journal of Mathematical Analysis and Applications - Volume 459, Issue 2, 15 March 2018, Pages 797-821
نویسندگان
N.C. Jr., A. Bonilla, A. Peris, X. Wu,