کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4664939 | 1345315 | 2006 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
ASYMPTOTICALLY ISOMETRIC COPIES OF lp (1 ≤ p < ∞) AND co IN BANACH SPACES*
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: ASYMPTOTICALLY ISOMETRIC COPIES OF lp (1 ≤ p < ∞) AND co IN BANACH SPACES* ASYMPTOTICALLY ISOMETRIC COPIES OF lp (1 ≤ p < ∞) AND co IN BANACH SPACES*](/preview/png/4664939.png)
چکیده انگلیسی
Let X be a Banach space. If there exists a quotient space of X which is asymptotically isometric to l1, then X contains complemented asymptotically isometric copies of l1. Every infinite dimensional closed subspace of l1 contains a complemented subspace of l1 which is asymptotically isometric to l1. Let X be a separable Banach space such that X* contains asymptotically isometric copies of lp (1 < p < ∞). Then there exists a quotient space of X which is asymptotically isometric to . Complemented asymptotically isometric copies of co in K(X,Y) and W(X,Y) are discussed. Let X be a Gelfand-Phillips space. If X contains asymptotically isometric copies of co, it has to contain complemented asymptotically isometric copies of co.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 26, Issue 2, April 2006, Pages 281-290
Journal: Acta Mathematica Scientia - Volume 26, Issue 2, April 2006, Pages 281-290