论文标题
Schlumprecht和Schreier空间上的小型操作员理想
Small operator ideals on the Schlumprecht and Schreier spaces
论文作者
论文摘要
我们提出了一种在Banach Space $ X $上构建运营商的方法，该方法在代数$ \ Mathscr {B}（x）$上产生不同的操作员理想，$ x $。我们表明，恰好有$ 2^\ mathfrak {c} $在Schlumprecht空间上独特的小型封闭操作员理想，并且在任何有限订单的任何Schreeper空间上都有一系列基数$ \ Mathfrak {C} $。
We present a method of building operators on a Banach space $X$ that generate distinct operator ideals in the algebra $\mathscr{B}(X)$ of bounded linear operators on $X$. We show that there are exactly $2^\mathfrak{c}$ distinct small closed operator ideals on the Schlumprecht space and there is a chain of cardinality $\mathfrak{c}$ of small closed operator ideals on any Schreier space of finite order.
