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

2015/02/25 by Inomjon Ganiev, Farrukh Mukhamedov, Ganiev, Inomjon +3
Mathematics · #37A30 #46B42 #46E30 #46G10 #47A35 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:37A30 #msc:46B42 #msc:46E30 #msc:46G10 #msc:47A35

paper · pdf · doi:10.48550/arxiv.1502.07064

10 pages

arxiv created 2015/02/25 · openalex publication_date 2015/02/25 · arxiv updated 2015/02/26 · openalex created_date 2022/03/05 · openalex updated_date 2026/07/28

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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