论文标题

奥丁斯基的被遗忘的定理,不远

A forgotten theorem of Ortyński, not far off

论文作者

Sánchez, Félix Cabello, Castillo, Jesús M. F., Salguero, Yolanda Moreno

论文摘要

我们结合了Ortyński\ Cite {Orty}的技术,以及Moreno和Plichko \ cite {More Plic},以表明,对于$ 0 <p <\ infty $,每个子空间$ \ ell_p(γ)的每个子空间都具有密度$ \ nathfrak m $ $ \ ell_p $ \ ell_p(form)$ \ ell_p formem $ \ ell_p forme forme forme forme forme forme forme $ \ ell_p。 $ H_M \ subset \ ell_p $。然后,将Ortyński的思想用于获得Lindenstrauss空间的独特位置。

We combine techniques of Ortyński \cite{orty} and Moreno and Plichko \cite{moreplic} to show that, for $0<p<\infty$, every subspace of $\ell_p(Γ)$ having density character $\mathfrak m$ has the form $\ell_p(\mathfrak m, H_m)$ for some family of subspaces $H_m\subset \ell_p$. The ideas of Ortyński are then applied to obtain unique positions for Lindenstrauss spaces.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源