An analytic representation of the L 0-valued homomorphisms in the Orlicz-Kantorovich modules
Botir ZakirovInstitute of Mathematics and Information Technology, 100125, Tashkent, Uzbekistan
ABI
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.