由格生成的自由 Banach 格
泛函分析
2020-04-01 v3
摘要
我们引入由格 L 生成的自由 Banach 格。我们给出其显式描述，并针对 为线性序（如可数链条件）的情形研究它的一些性质。
关键词
引用
@article{arxiv.1806.08381,
title = {The free Banach lattice generated by a lattice},
author = {Antonio Avilés and José David Rodríguez Abellán},
journal= {arXiv preprint arXiv:1806.08381},
year = {2020}
}
备注
This last version differs from the published version in that it contains a new proof of Lemma 5.3. The previous proof worked for the particular case in which the lemma was applied, but it was wrong for the lemma as stated in general