论文标题

埃尔顿(Elton)几乎无条件的基础是一种无阈值的贪婪形式

Elton's near unconditionality of bases as a threshold-free form of greediness

论文作者

Albiac, Fernando, Ansorena, José L., Berasategui, Miguel

论文摘要

埃尔顿(Elton)对最大系数的几乎无条件和准绿色是碱的两种属性,它们从截然不同的研究领域中出现在功能分析中。本注释中我们的目标之一是表明,奇怪的是,它们与等效概念的范围相连。我们利用了对以前财产的新描述的优势,以进一步研究与几乎无条件性相关的阈值函数。最后,我们通过表征那些最大系数的$ 1 $ quasi-greedy的基础来为贪婪基础的等距理论做出了贡献。

Elton's near unconditionality and quasi-greediness for largest coefficients are two properties of bases that made their appearance in functional analysis from very different areas of research. One of our aims in this note is to show that, oddly enough, they are connected to the extent that they are equivalent notions. We take advantage of this new description of the former property to further the study of the threshold function associated with near unconditionality. Finally, we made a contribution to the isometric theory of greedy bases by characterizing those bases that are $1$-quasi-greedy for largest coefficients.

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