论文标题
Lebesgue和Lebesgue序列空间之间的嵌入严格是单数
Embedding between Lebesgue and weak Lebesgue sequence spaces is strictly singular
论文作者
论文摘要
给定的$ 1 <p <q <\ infty $，众所周知，lebesgue序列空间的天然嵌入$ \ ell_p \ hookrightarrow \ ell_q $是严格的单数。在本文中，我们扩展了这种经典的结果，并表明，即使是Lebesgue和弱Lebesgue序列空间之间的天然非紧密嵌入，$ \ ell_ {p} \ hookrightarrow \ ell_ {p，\ infty} $也是严格奇异的。
Given $1< p < q < \infty$ it is well know that the natural embedding of Lebesgue sequence spaces $\ell_p \hookrightarrow \ell_q$ is strictly singular. In this paper we extend this classical results and show that even the natural non-compact embedding between Lebesgue and weak Lebesgue sequence spaces $\ell_{p}\hookrightarrow \ell_{p,\infty}$ is strictly singular.
