Criteria of cyclic compactness of the sets from Lp - spaces, associated with vector measure
Vladimir ChilinDepartment of Algebra and Functional Analysis, Faculty of Mechanics and Mathematics, National University, UzbekistanB.A. RAKHIMOVDepartment of Algebra and Functional Analysis, Faculty of Mechanics and Mathematics, National University, UzbekistanА О РахимовDepartment of Science in Engineering, International Islamic University, Malaysia
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We study the conditional expectations in the Lp-modules associated with a partition of unity of a Boolean algebra. Cyclic compactness criteria of the subsets of Lp found in terms of convergent nets of conditional expectations.
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