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arXiv · 1502.07064

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

Inomjon Ganiev·Farrukh Mukhamedov·Dilmurad Bekbae
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Abstract

In the present paper we study majorizable operators acting on Banach-Kantorovich $L_p$-lattices, constructed by a measure $m$ with values in the ring of all measurable functions. Then using methods of measurable bundles of Banach-Kantorovich lattices, we prove the strong "zero-two" law for positive contractions of the Banach-Kantorovich $L_p$-lattices.

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Inomjon Ganiev, Farrukh Mukhamedov, Dilmurad Bekbae. 2015-02-25. The strong "zero-two" law for positive contractions of Banach-Kantorovich L_p-lattices. https://arxiv.org/abs/1502.07064

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