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  • 标题:Random trilinear forms and the Schur multiplication of tensors
  • 本地全文:下载
  • 作者:Ibrahim Almasri ; Jinlu Li ; Andrew Tonge
  • 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.
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