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arXiv · 1301.0749

Fremlin Tensor Products of Concavifications of Banach Lattices

Vladimir G. Troitsky·Omid Zabeti
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Abstract

Suppose that $E$ is a uniformly complete vector lattice and $p_1,..., p_n$ are positive reals. We prove that the diagonal of the Fremlin projective tensor product of $E_{(p_1)},..., E_{(p_n)}$ can be identified with $E_{(p)}$ where $p = p_1+...+p_n$ 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 [BBPTT].

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BibTeXRIS

Vladimir G. Troitsky, Omid Zabeti. 2013-01-04. Fremlin Tensor Products of Concavifications of Banach Lattices. https://arxiv.org/abs/1301.0749

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