Abstract
We consider the Orlicz-Kantorovich modules L M (∇,m) associated with a complete Boolean algebra ∇, an N-function M, and a measure m defined on ∇ and taking values in the algebra L 0 of all measurable real functions. We obtain an analytic representation of the continuous L 0-valued homomorphisms defined on such modules.
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Original Russian Text © B. S. Zakirov, 2007, published in Matematicheskie Trudy, 2007, Vol. 10, No. 2, pp. 112–141.
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Zakirov, B.S. An analytic representation of the L 0-valued homomorphisms in the Orlicz-Kantorovich modules. Sib. Adv. Math. 19, 128–149 (2009). https://doi.org/10.3103/S1055134409020047
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DOI: https://doi.org/10.3103/S1055134409020047