- Turkish Journal of Mathematics
- Vol: 39 Issue: 4
- The strong ``zero-two" law for positive contractions of Banach--Kantorovich $L_p$-lattices
The strong ``zero-two" law for positive contractions of Banach--Kantorovich $L_p$-lattices
Authors : Inomjon Ganiev, Farrukh Mukhamedov, Dilmurod Bekbaev
Pages : 583-594
Doi:10.3906/mat-1501-74
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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