تقرير
Compact spaces associated to separable Banach lattices
| العنوان: | Compact spaces associated to separable Banach lattices |
|---|---|
| المؤلفون: | Avilés, Antonio, Cervantes, Gonzalo Martínez, Zoca, Abraham Rueda, Tradacete, Pedro |
| المصدر: | Banach Journal of Mathematical Analysis volume 16, Article 67 (2022) |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - General Topology, 46B42, 46B40, 54G99 |
| الوصف: | We study the class of compact spaces that appear as structure spaces of separable Banach lattices. In other words, we analyze what $C(K)$ spaces appear as principal ideals of separable Banach lattices. Among other things, it is shown that every such compactum $K$ admits a strictly positive regular Borel measure of countable type that is analytic, and in the nonmetrizable case these compacta are saturated with copies of $\beta\mathbb N$. Some natural questions about this class are left open. Comment: With respect to previous version: just minor changes to conform to the final published paper |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2208.03065 |
| رقم الأكسشن: | edsarx.2208.03065 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |