论文标题
$ c_ {0} \ wideHat {\ otimes}_πc_{0} \ wideHat {\ otimes}_πc_{0} $不是$ c_ {0} {0} \ wideHat {\ otimes} {\ otimes} _ __πc_0}的子空间。
$c_{0} \widehat{\otimes}_πc_{0}\widehat{\otimes}_πc_{0}$ is not isomorphic to a subspace of $c_{0} \widehat{\otimes}_πc_{0}$
论文作者
论文摘要
在本文中，我们证明了$ C_0 $，$ C_ {0} \ wideHat {\ otimes}_πc_{0} \ wideHat {\ otimes}_πc_{0} $ nosomorphic to subspace of subspace， \ wideHat {\ otimes}_πc_{0} $。特别是，这解决了$ c_ {0} \ wideHat {\ otimes}_πc_{0} $是否isomorphic to $ c_ {0} \ wideHat {\ otimes}_πc_{0} _ {0} \ wideHat {0} $ {0} $这个问题的起源可以追溯到乔·戴斯特（Joe Diestel），他在2006年发表的“意外张量产品”的作者的私人交流中提到了这一点。
In the present paper we prove that the $3$-fold projective tensor product of $c_0$, $c_{0} \widehat{\otimes}_πc_{0}\widehat{\otimes}_πc_{0}$, is not isomorphic to a subspace of $c_{0} \widehat{\otimes}_πc_{0}$. In particular, this settles the long-standing open problem of whether $c_{0} \widehat{\otimes}_πc_{0}$ is isomorphic to $c_{0} \widehat{\otimes}_πc_{0}\widehat{\otimes}_πc_{0}$. The origin of this problem goes back to Joe Diestel who mentioned it in a private communication to the authors of paper "Unexpected subspaces of tensor products" published in 2006.
