کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898458 1631384 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hypercyclic homogeneous polynomials on H(C)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Hypercyclic homogeneous polynomials on H(C)
چکیده انگلیسی
It is known that homogeneous polynomials on Banach spaces cannot be hypercyclic, but there are examples of hypercyclic homogeneous polynomials on some non-normable Fréchet spaces. We show the existence of hypercyclic polynomials on H(C), by exhibiting a concrete polynomial which is also the first example of a frequently hypercyclic homogeneous polynomial on any F-space. We prove that the homogeneous polynomial on H(C) defined as the product of a translation operator and the evaluation at 0 is mixing, frequently hypercyclic and chaotic. We prove, in contrast, that some natural related polynomials fail to be hypercyclic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 226, February 2018, Pages 60-72
نویسندگان
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