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

Alexander Berenstein (ICJ); C. Ward Henson (UIUC); Ita\"i Ben Yaacov (ICJ)

arxiv: 0907.5273 · v1 · pith:FIFISFN3new · submitted 2009-07-30 · 🧮 math.LO

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

Ita\"i Ben Yaacov (ICJ) , Alexander Berenstein (ICJ) , C. Ward Henson (UIUC) This is my paper

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keywords banachindependencelatticesmodel-theoreticanalysisbasescanonicalcharacterize

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We study model-theoretic stability and independence in Banach lattices of the form $L_p(X,U,\mu)$, 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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Model-theoretic independence in the Banach lattices L_p(μ)

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