The strong ``zero-two" law for positive contractions of Banach--Kantorovich $L_p$-lattices

Abstract

In the present paper we study dominated operators acting on Banach--Kantorovich $L_p$-lattices, constructed by a measure $m$ with values in the ring of all measurable functions. Using methods of measurable bundles of Banach--Kantorovich lattices, we prove the strong ``zero-two" law for positive contractions of Banach--Kantorovich $L_p$-lattices. \\vspace{1mm}

Identifiers

DOI

10.3906/mat-1501-74

Citations and references