تقرير
Approximate ultrahomogeneity in $L_pL_q$ lattices
| العنوان: | Approximate ultrahomogeneity in $L_pL_q$ lattices |
|---|---|
| المؤلفون: | Tursi, Mary Angelica |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis |
| الوصف: | We show that for $1\leq p, q<\infty$ with $p/q \notin \mathbb{N}$, the doubly atomless separable $L_pL_q$ Banach lattice $L_p(L_q)$ is approximately ultrahomogeneous (AUH) over the class of its finitely generated sublattices. The above is not true when $p/q \in \mathbb{N}$. However, for any $p\neq q$, $L_p(L_q)$ is AUH over the finitely generated lattices in the class $BL_pL_q$ of bands of $L_pL_q$ lattices. Comment: 28 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.10297 |
| رقم الأكسشن: | edsarx.2309.10297 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |