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

Authors

INOMJON GANIEV
FARRUKH MUKHAMEDOV
DILMUROD BEKBAEV

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}

DOI

10.3906/mat-1501-74

Keywords

Banach--Kantorovich $L_p$-lattice, strong ``zero-two" law, dominated operator, positive contraction

First Page

583

Last Page

594

Recommended Citation

GANIEV, INOMJON; MUKHAMEDOV, FARRUKH; and BEKBAEV, DILMUROD (2015) "The strong ``zero-two" law for positive contractions of Banach--Kantorovich $L_p$-lattices," Turkish Journal of Mathematics: Vol. 39: No. 4, Article 14. https://doi.org/10.3906/mat-1501-74
Available at: https://journals.tubitak.gov.tr/math/vol39/iss4/14