${\cal L}(\ell^p_2, \ell^q_2)$中的极端压缩和$\ell^p_2 \otimes_{\p} \ell^q_2$中的Mazur交性质
Extreme contractions in ${\cal L}(\ell^p_2, \ell^q_2)$ and the mazur intersection property in $\ell^p_2 \otimes_{\p} \ell^q_2$
摘要：
本文证明了二维$\ell^p$空间与二维$\ell^q$空间的射影张量积对$p$和$q$的大值域不具有Mazur交性质.为此，我们将从$\ell^p_2$到$\ell^q_2$的极端收缩映射化，并得到它们的闭包。
英文摘要：
In this paper, we show that the projective tensor product of a two-dimen\-sional $\ell^p$ space with a two-dimensional $\ell^q$ space never has the Mazur Intersection Property for a large range of values of $p$ and $q$. For this purpose, we characterise the extreme contractions from $\ell^p_2$ to $\ell^q_2$ and obtain their closure.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
