论文标题
在某些经典序列空间之间的封闭理想的sublattice的基数
The cardinality of the sublattice of closed ideals of operators between certain classical sequence spaces
论文作者
论文摘要
定理A和[1]的定理b表示，$ 1 <p <\ infty $ $ \ Mathcal {l}的封闭理想的晶格（\ ell_p，c_0）$，$ \ nathcal {l}（l}基数$ 2^ω$。在这里我们表明，$ \ Mathcal {l}（\ ell_p，c_0）$，$ \ MATHCAL {l}（\ ell_p，\ ell_p，\ ell_ \ infty）$和$ \ \ \米卡卡尔{l}（L}（\ ell_1，$ ell_1 $ y是）， 它。
Theorem A and Theorem B of [1] state that for $1<p<\infty$ the lattice of closed ideals of $\mathcal{L}(\ell_p,c_0)$, $\mathcal{L}(\ell_p,\ell_\infty)$ and of $\mathcal{L}(\ell_1,\ell_p)$ are at least of cardinality $2^ω$. Here we show that the cardinality of the lattice of closed ideals of $\mathcal{L}(\ell_p,c_0)$, $\mathcal{L}(\ell_p,\ell_\infty)$ and of $\mathcal{L}(\ell_1,\ell_p)$, is at least $2^{2^ω}$, and thus equal to it.
