Fremlin tensor products of concavifications of Banach lattices

Fremlin tensor products of concavifications of Banach lattices Suppose that $$E$$ is a uniformly complete vector lattice and $$p_1,\dots ,p_n$$ are positive reals. We prove that the diagonal of the Fremlin projective tensor product of $$E_{(p_1)},\dots ,E_{(p_n)}$$ can be identified with $$E_{(p)}$$ where $$p=p_1+\dots +p_n$$ and $$E_{(p)}$$ stands for the $$p$$ -concavification of $$E$$ . We also provide a variant of this result for Banach lattices. This extends the main result of Bu et al. (Positivity, 2013). Positivity Springer Journals

Fremlin tensor products of concavifications of Banach lattices

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Springer Basel
Copyright © 2013 by Springer Basel
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
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