Title
Random Trilinear Forms and the Schur Multiplication of Tensors
Document Type
Article
Publication Date
3-3-1998
Original Publication Title
International Journal of Mathematics and Mathematical Sciences
Department
Mathematical Sciences
DOI
https://www.hindawi.com/journals/ijmms/2000/505621/abs/
Abstract
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.
Recommended Citation
Almasri, Ibrahim; Li, Jinlu; and Tonge, Andrew, "Random Trilinear Forms and the Schur Multiplication of Tensors" (1998). Faculty Research. 15.
https://digitalcommons.shawnee.edu/fac_research/15
