کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417484 | 1339295 | 2016 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On convex-cyclic operators
ترجمه فارسی عنوان
در اپراتورهای محدب چرخه ای
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
We give a Hahn-Banach characterization for convex-cyclicity. We also obtain an example of a bounded linear operator S on a Banach space with Ïp(Sâ)=â such that S is convex-cyclic, but S is not weakly hypercyclic and S2 is not convex-cyclic. This solved two questions of Rezaei in [25] when Ïp(Sâ)=â . We also characterize the diagonalizable normal operators that are convex-cyclic and give a condition on the eigenvalues of an arbitrary operator for it to be convex-cyclic. We show that certain adjoint multiplication operators are convex-cyclic and show that some are convex-cyclic but no convex polynomial of the operator is hypercyclic. Also some adjoint multiplication operators are convex-cyclic but not 1-weakly hypercyclic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 434, Issue 2, 15 February 2016, Pages 1166-1181
Journal: Journal of Mathematical Analysis and Applications - Volume 434, Issue 2, 15 February 2016, Pages 1166-1181
نویسندگان
Teresa Bermúdez, Antonio Bonilla, Nathan S. Feldman,