- 期刊
RANDOM TRILINEAR FORMS AND THE SCHUR MULTIPLICATION OF TENSORS
摘要
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) = aijk, where the aijk'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.
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