论文标题
Banach空间中滤光片底座的大型红衣主教和连续性
Large cardinals and continuity of coordinate functionals of filter bases in Banach spaces
论文作者
论文摘要
假设存在某些大型基数数字，我们证明，对于每一个投影滤波器$ \ MATHSCR F $，在一组自然数字上，$ \ Mathscr {f} $ - Banach空间中的基础都具有连续的坐标函数。特别是，这适用于统计收敛的过滤器，因此我们通过V. kadets解决了问题（至少在某些大型红衣主教的存在下）。在这种情况下，我们还恢复了Kochanek的结果，Kochanek证明了坐标功能的连续性（Studia Math。，2012）。
Assuming the existence of certain large cardinal numbers, we prove that for every projective filter $\mathscr F$ over the set of natural numbers, $\mathscr{F}$-bases in Banach spaces have continuous coordinate functionals. In particular, this applies to the filter of statistical convergence, thereby we solve a problem by V. Kadets (at least under the presence of certain large cardinals). In this setting, we recover also a result of Kochanek who proved continuity of coordinate functionals for countably generated filters (Studia Math., 2012).
