莱布尼茨半范数与C*-子代数的最佳逼近
算子代数
2011-12-13 v4 泛函分析
摘要
我们证明，如果B是C*-代数A的一个C*-子代数，且B包含A的有界逼近单位，并且L是A上商范数在A/B上的拉回，那么L是强莱布尼茨的。与此情形相关，我们研究了单位C*-代数中元素被单位C*-子代数中元素最佳逼近的某些方面。
引用
@article{arxiv.1008.3733,
title = {Leibniz Seminorms and Best Approximation from C*-subalgebras},
author = {Marc A. Rieffel},
journal= {arXiv preprint arXiv:1008.3733},
year = {2011}
}
备注
24 pages. Intended for the proceedings of the conference "Operator Algebras and Related Topics". v2: added a corollary to the main theorem, plus several minor improvements v3: much simplified proof of a key lemma, corollary to main theorem added v4: Many minor improvements. Section numbers increased by 1