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Joint continuity of injective tensor products of vector measures in Banach lattices
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Research Article
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- Copyright © Australian Mathematical Society 2003
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