کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898429 1631380 2018 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
1-greedy renormings of Garling sequence spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
1-greedy renormings of Garling sequence spaces
چکیده انگلیسی
We show that all Garling sequence spaces admit a renorming with respect to which their standard unit vector basis is 1-greedy. We also discuss some additional properties of these Banach spaces related to uniform convexity and superreflexivity. In particular, our approach to the study of the superreflexivity of Garling sequence spaces provides an example of how essentially non-linear tools from greedy approximation can be used to shed light on the linear structure of these spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 230, June 2018, Pages 13-23
نویسندگان
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