Joint continuity of injective tensor products of vector measures in Banach lattices

Journal of the Australian Mathematical Society

Jun Kawabe¹ 

关键词: primary 28A33;    28B05;    secondary 46A11;    46A32;   

DOI  :  10.1017/S1446788700003244

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is shown that the injective tensor product of positive vector measures in certain Banach lattices is jointly continuous with respect to the weak convergence of vector measures. This result is obtained by a diagonal convergence theorem for injective tensor integrals. Our approach to this problem is based on Bartle's bilinear integration theory.

【 授权许可】

Unknown