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
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 σp(S⁎)=∅ 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 σp(S⁎)=∅. 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
نویسندگان
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