تقرير
Shrinking Schauder Frames and their Associated Bases
| العنوان: | Shrinking Schauder Frames and their Associated Bases |
|---|---|
| المؤلفون: | Beanland, Kevin, Freeman, Daniel |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis |
| الوصف: | For a Banach space $X$ with a shrinking Schauder frame $(x_i,f_i)$ we provide an explicit method for constructing a shrinking associated basis. In the case that the minimal associated basis is not shrinking, we prove that every shrinking associated basis of $(x_i,f_i)$ dominates an uncountable family of incomparable shrinking associated bases of $(x_i,f_i)$. By adapting a construction of Pe{\l}czy{\'n}ski, we characterize spaces with shrinking Schauder frames as spaces having the $w^*$-bounded approximation property. Comment: comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2205.09783 |
| رقم الأكسشن: | edsarx.2205.09783 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |