Joint Continuity of Injective Tensor Products of Vector Measures in Banach Lattices
نویسندگان
چکیده
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. 2000 Mathematics subject classification: primary 28A33, 28B05; secondary 46A11, 46A32.
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تاریخ انتشار 2001