Solution to a problem of Diestel,Proceedings of the American Mathematical Society

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Solution to a problem of Diestel
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-09-11 , DOI: 10.1090/proc/15188
R. M. Causey , E. M. Galego , C. Samuel

Abstract:In the present paper, we prove that the

-fold projective tensor product $c_{0} \widehat {\otimes }_\pi c_{0}\widehat {\otimes }_\pi c_{0}$ of

is not isomorphic to any subspace of $c_{0} \widehat {\otimes }_\pi c_{0}$ . In particular, this settles the long-standing open problem, originally raised by Joe Diestel in a private communication, of whether $c_{0} \widehat {\otimes }_\pi c_{0}$ is isomorphic to $c_{0} \widehat {\otimes }_\pi c_{0}\widehat {\otimes }_\pi c_{0}$ .

中文翻译：

解决Diestel问题

摘要：在本文中，我们证明了

倍投影张量积的不是同构的任何子空间。特别是，这解决了由Joe Diestel最初在私人通讯中提出的长期存在的开放性问题，该问题是否与相同。 $c_ {0} \ widehat {\ otimes} _ \ pi c_ {0} \ widehat {\ otimes} _ \ pi c_ {0}$

$c_ {0} \ widehat {\ otimes} _ \ pi c_ {0}$ $c_ {0} \ widehat {\ otimes} _ \ pi c_ {0}$ $c_ {0} \ widehat {\ otimes} _ \ pi c_ {0} \ widehat {\ otimes} _ \ pi c_ {0}$

更新日期：2020-10-19

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