تقرير
On KB and Levi operators in Banach lattices
| العنوان: | On KB and Levi operators in Banach lattices |
|---|---|
| المؤلفون: | Emelyanov, Eduard |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis |
| الوصف: | We prove that an order continuous Banach lattice E is a KB-space if and only if each positive compact operator on E is a KB operator. We give conditions on quasi-KB (resp., quasi-Levi) operators to be KB (resp., Levi), study norm completeness and domination for these operators, and show that neither KB nor Levi operators are stable under rank one perturbations. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.05685 |
| رقم الأكسشن: | edsarx.2312.05685 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |