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

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

2005-10-16

arxiv.org/abs/math/0510339v1

Comment. Math. Univ. Carolinae 47 (2006), N.3, 427--436.

Mathematics

Functional Analysis

10 pages. submitted

Scientific paper

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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