Random Trilinear Forms and the Schur Multiplication of Tensors
Original Publication Title
International Journal of Mathematics and Mathematical Sciences
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.
Almasri, Ibrahim; Li, Jinlu; and Tonge, Andrew, "Random Trilinear Forms and the Schur Multiplication of Tensors" (1998). Faculty Research. 15.