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

Authors : İnomjon GANIEV, Farrukh MUKHAMEDOV, Dilmurod BEKBAEV

Pages : 583-594

Doi:10.3906/mat-1501-74

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Publication Date : 0000-00-00

Article Type : Research Paper

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}
Keywords : Banach Kantorovich L p lattice, strong ``zero two` law, dominated operator, positive contraction