کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417530 | 1339295 | 2016 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Almost square Banach spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Almost square Banach spaces Almost square Banach spaces](/preview/png/6417530.png)
چکیده انگلیسی
We single out and study a natural class of Banach spaces - almost square Banach spaces. In an almost square space we can find, given a finite set x1,x2,â¦,xN in the unit sphere, a unit vector y such that âxiâyâ is almost one. These spaces have duals that are octahedral and finite convex combinations of slices of the unit ball of an almost square space have diameter 2. We provide several examples and characterizations of almost square spaces. We prove that non-reflexive spaces which are M-ideals in their biduals are almost square. We show that every separable space containing a copy of c0 can be renormed to be almost square. A local and a weak version of almost square spaces are also studied.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 434, Issue 2, 15 February 2016, Pages 1549-1565
Journal: Journal of Mathematical Analysis and Applications - Volume 434, Issue 2, 15 February 2016, Pages 1549-1565
نویسندگان
Trond A. Abrahamsen, Johann Langemets, Vegard Lima,