范数球之和为范数壳层且下三角不等式是紧的
经典分析与常微分方程
2009-09-01 v3
摘要
本文对标题中的论断进行了解释与证明，这作为戴奥多内《数学分析基础》第五章水平的赋范向量空间理论的一个基础练习。文中还简要阐述了其与次鞅近期矩界之间的联系。
引用
@article{arxiv.0805.0314,
title = {Sums of norm spheres are norm shells and lower triangle inequalities are sharp},
author = {Lutz Mattner},
journal= {arXiv preprint arXiv:0805.0314},
year = {2009}
}
备注
6 pages. New additional introduction explaining connection to recent moment bounds for submartingales. This version accepted for publication in "Mathematische Semesterberichte"