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

In the present paper we prove the “zero-two” law for positive contractions of lattices $L^p(\mathrm{\nabla },\mu )$ of Banach-Kantorovich, constructed by the measure $\mu$ with values in the ring of all measurable functions.