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arXiv · 0907.5273

Model-theoretic independence in the Banach lattices $L_p(μ)$

Itaï Ben Yaacov·Alexander Berenstein·C. Ward Henson
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Abstract

We study model-theoretic stability and independence in Banach lattices of the form $L_p(X,U,μ)$, where $1 \leq p < \infty$. We characterize non-dividing using concepts from analysis and show that canonical bases exist as tuples of real elements.

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Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson. 2009-07-30. Model-theoretic independence in the Banach lattices $L_p(μ)$. https://doi.org/10.1007/s11856-011-0050-4

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