On the "Zero-Two" Law for Positive Contractions on Banach-Kantorovich   Lattice $L^p(\nabla,\mu)$
  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. 
Inomjon Ganiev, Farrukh Mukhamedov