浙江大学学报(英文版)
浙江大學學報(英文版)
절강대학학보(영문판)
JOURNAL OF ZHEJIANG UNIVERSITY SCIENCE
2004年
3期
350-352
,共3页
Random tensors%Schur product%Banach algebra
In this work, we made progress on the problem that lr(○×)lp(○×)lq is a Banach algebra under schur product. Our results extend Tonge's results. We also obtained estimates for the norm of the random quadralinear form A:lMr×lNp×lKq×lHs→ C, defined by: A(ei, ej, ek, es)=aijks, where the (aijks)'s are uniformly bounded, independent, mean zero random variables. We proved that under some conditions lr(○×)lp(○×)lq (○×)ls is not a Banach algebra under schur product.