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On convergences of measurable functions in Archimedean vector lattices
Authors:Ján Haluška  Ondrej Hutník
Institution:(1) Department of Mathematics, Wesleyan University, Middletown, CT 06457, USA;(2) 5 W. Oak St., Ramsey, NJ 07446, USA
Abstract:For Archimedean vector lattices X, Y and the positive cone \mathbbL{\mathbb{L}} of all regular linear operators L : XY, a theory of sequential convergences of functions connected with an \mathbbL{\mathbb{L}} -valued measure is introduced and investigated.
Keywords:
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