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This article is cited in 3 scientific papers (total in 3 papers)
An Analytic Representation of the $L_0$-Valued Homomorphisms in the Orlicz–Kantorovich Modules
B. S. Zakirov Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
Abstract:
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.
Key words:
Banach–Kantorovich space, Banach module, conjugate Banach module.
Received: 19.02.2007
Citation:
B. S. Zakirov, “An Analytic Representation of the $L_0$-Valued Homomorphisms in the Orlicz–Kantorovich Modules”, Mat. Tr., 10:2 (2007), 112–141; Siberian Adv. Math., 19:2 (2009), 128–149
Linking options:
https://www.mathnet.ru/eng/mt23 https://www.mathnet.ru/eng/mt/v10/i2/p112
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Abstract page: | 291 | Full-text PDF : | 90 | References: | 44 | First page: | 1 |
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