The strong zero-two law for positive contractions of Banach Kantorovich Lp-lattices

Abstract

In the present paper we study dominated operators acting on Banach Kantorovich Lp-lattices, constructed by a measure m with values in the ring of all measurable functions. Using methods of measurable bundles of BanachKantorovich lattices, we prove the strong zero-two law for positive contractions of Banach Kantorovich Lp-lattices.