Abstract: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.
Keywords: Banach-Kantorovich lattice, ``zero-two'' law, positive contraction
AMS Subject Classification: 37A30, 47A35, 46B42, 46E30, 46G10