In Theorems A and B of [1], we state that for $1<p<\infty$ the lattice of closed ideals of $\mathcal{L}({\ell }_p,{\mathrm{c}}_0)$, $\mathcal{L}({\ell }_p,{\ell }_{\infty })$ and of $\mathcal{L}({\ell }_1,{\ell }_p)$ are at least of cardinality $\mathfrak{c}$, the continuum. What our proof actually shows is that the cardinality of the lattice of closed ideals of $\mathcal{L}({\ell }_p,{\mathrm{c}}_0)$, $\mathcal{L}({\ell }_p,{\ell }_{\infty })$ and of $\mathcal{L}({\ell }_1,{\ell }_p)$, is at least $2^{\mathfrak{c}}$, and thus equal to it.

中文翻译：

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附录：经典序列空间之间的闭合算子理想：（Bull。Lond。Math。Soc。49（2017）859–876）

在[1]的定理A和B中，我们指出 $\mathrm{1个}<p<\infty$ 封闭理想的晶格 $\mathcal{大号}（{\ell }_p，{\mathrm{C}}_0）$， $\mathcal{大号}（{\ell }_p，{\ell }_{\infty }）$ 和的 $\mathcal{大号}（{\ell }_{\mathrm{1个}}，{\ell }_p）$ 至少是基数 $\mathfrak{C}$，连续体。我们的证明实际上表明，封闭理想的格的基数$\mathcal{大号}（{\ell }_p，{\mathrm{C}}_0）$， $\mathcal{大号}（{\ell }_p，{\ell }_{\infty }）$ 和的 $\mathcal{大号}（{\ell }_{\mathrm{1个}}，{\ell }_p）$，至少 ${\mathrm{2个}}^{\mathfrak{C}}$，因此等于它。