İnomjon GANIEV, Farrukh MUKHAMEDOV, Dilmurod BEKBAEV

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

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}

Anahtar Kelimeler:

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

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

Keywords:

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

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