کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614881 1339302 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rolewicz-type chaotic operators
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Rolewicz-type chaotic operators
چکیده انگلیسی

In this article we introduce a new class of Rolewicz-type operators in ℓpℓp, 1≤p<∞1≤p<∞. We exhibit a collection FF having the cardinality of the continuum, consisting of operators of this type which are chaotic and remain so under almost all finite linear combinations, provided that the linear combination has sufficiently large norm. As a corollary to our main result we also obtain that there exists a countable collection of such operators whose all finite linear combinations are chaotic provided that they have sufficiently large norm.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 431, Issue 1, 1 November 2015, Pages 518–528
نویسندگان
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