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arxiv: math/0510339 · v1 · submitted 2005-10-16 · 🧮 math.FA

On the "Zero-Two" Law for Positive Contractions on Banach-Kantorovich Lattice L^p(nabla,μ)

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keywords banach-kantorovichcontractionsnablapositivezero-twoconstructedfunctionslattice
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In the present paper we prove the "zero-two" law for positive contractions of lattices $L^p(\nabla,\mu)$ of Banach-Kantorovich, constructed by the measure $\mu$ with values in the ring of all measurable functions.

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