کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4589606 | 1630606 | 2016 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Γ-supercyclicity
ترجمه فارسی عنوان
من؟ سوپراسکیلیک
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We characterize the subsets Γ of CC for which the notion of Γ-supercyclicity coincides with the notion of hypercyclicity, where an operator T on a Banach space X is said to be Γ-supercyclic if there exists x∈Xx∈X such that Orb‾(Γx,T)=X. In addition we characterize the sets Γ⊂CΓ⊂C for which, for every operator T on X, T is hypercyclic if and only if there exists a vector x∈Xx∈X such that the set Orb(Γx,T)Orb(Γx,T) is somewhere dense in X . This extends results by León–Müller and Bourdon–Feldman respectively. We are also interested in the description of those sets Γ⊂CΓ⊂C for which Γ-supercyclicity is equivalent to supercyclicity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 270, Issue 12, 15 June 2016, Pages 4443–4465
Journal: Journal of Functional Analysis - Volume 270, Issue 12, 15 June 2016, Pages 4443–4465
نویسندگان
S. Charpentier, R. Ernst, Q. Menet,