Geodesic
An Analytic Representation of the $L_0$-Valued Homomorphisms in the Orlicz--Kantorovich Modules
Matematičeskie trudy, Tome 10 (2007) no. 2, pp. 112-141

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We consider the Orlicz–Kantorovich modules $L_M(\nabla,m)$ associated with a complete Boolean algebra $\nabla$, an $N$-function $M$, and a measure $m$ defined on $\nabla$ 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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     author = {B. S. Zakirov},
     title = {An {Analytic} {Representation} of the $L_0${-Valued} {Homomorphisms} in the {Orlicz--Kantorovich} {Modules}},
     journal = {Matemati\v{c}eskie trudy},
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B. S. Zakirov. An Analytic Representation of the $L_0$-Valued Homomorphisms in the Orlicz--Kantorovich Modules. Matematičeskie trudy, Tome 10 (2007) no. 2, pp. 112-141. http://geodesic.mathdoc.fr/item/MT_2007_10_2_a4/