Criteria of cyclic compactness of the sets from Lp - spaces, associated with vector measure

Rakhimov, Akmal and Chilin, Vladimir and Rakhimov, Abdumalik A. (2013) Criteria of cyclic compactness of the sets from Lp - spaces, associated with vector measure. AIP Conference Proceedings , 367. pp. 1-4. ISSN 0094-243X (P), 1551-7616 (O)

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	6741/33984
Uncontrolled Keywords:	Conditional expectation, Boolean algebra, Cyclic compactness, Convergence
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Professor Abdumalik Rakhimov
Date Deposited:	08 Jan 2014 16:45
Last Modified:	08 Jan 2014 16:45
URI:	http://irep.iium.edu.my/id/eprint/33984

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