Geodesic
On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice $L^p(\nabla,\mu)$
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 3, pp. 427-436

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In the present paper we prove the ``zero-two'' law for positive contractions in the Banach-Kantorovich lattices $L^p(\nabla,\mu)$, constructed by a measure $\mu $ with values in the ring of all measurable functions.
Classification : 37A30, 46B42, 46E30, 46G10, 47A35
Keywords: Banach-Kantorovich lattice; ``zero-two'' law; positive contraction 
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     title = {On the {\textquotedblleft}zero-two{\textquotedblright} law for positive contractions in the {Banach-Kantorovich} lattice $L^p(\nabla,\mu)$},
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Ganiev, Inomjon; Mukhamedov, Farrukh. On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice $L^p(\nabla,\mu)$. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 3, pp. 427-436. http://geodesic.mathdoc.fr/item/CMUC_2006__47_3_a4/