论文标题
某些贪婪型基础的扩展和新特征
Extensions and new characterizations of some greedy-type bases
论文作者
论文摘要
Dilworth等人引入了Banach空间中的部分贪婪基地。与（几乎）贪婪基础相比，严格弱的概念。在本文中，我们研究了增强部分贪婪定义的两种自然方法。第一种方式生产我们称之为连续的几乎贪婪的财产，事实证明，它等同于几乎贪婪的财产。同时，第二种方式将Schauder基地的PG财产复制，但对一般基地的严格财产严格强。
Partially greedy bases in Banach spaces were introduced by Dilworth et al. as a strictly weaker notion than the (almost) greedy bases. In this paper, we study two natural ways to strengthen the definition of partial greediness. The first way produces what we call the consecutive almost greedy property, which turns out to be equivalent to the almost greedy property. Meanwhile, the second way reproduces the PG property for Schauder bases but a strictly stronger property for general bases.
