Random trilinear forms and the Schur multiplication of tensors

Ibrahim Almasri, Jinlu Li and Andrew Tonge

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-8

Abstract:

We obtain estimates for the distribution of the norm of the random trilinear form A : ℓ r M × ℓ p N × ℓ q K → ℂ , defined by A ( e i , e j , e k ) = a i j k , where the a i j k 's are uniformly bounded, independent, mean zero random variables. As an application, we make progress on the problem when ℓ r ⊗ ⌣ ℓ p ⊗ ⌣ ℓ q is a Banach algebra under the Schur multiplication.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:505621

DOI: 10.1155/S0161171200000715

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