文章基本信息

标题：Random trilinear forms and the Schur multiplication of tensors
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作者：Ibrahim Almasri ; Jinlu Li ; Andrew Tonge 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2000
卷号：23
DOI：10.1155/S0161171200000715
出版社：Hindawi Publishing Corporation
摘要：We obtain estimates for the distribution of the norm of the random trilinear form A:ℓrM×ℓpN×ℓqK→ℂ, defined by A(ei,ej,ek)=aijk, where the aijk's are uniformly bounded, independent, mean zero random variables. As an application, we make progress on the problem when ℓr⊗⌣ℓp⊗⌣ℓq is a Banach algebra under the Schur multiplication.