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

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.

Bibliographic Details
Main Authors: Rakhimov, Akmal, Chilin, Vladimir, Rakhimov, Abdumalik A.
Format: Article
Language:English
Published: American Institute of Physics 2013
Subjects:
Online Access:http://irep.iium.edu.my/33984/1/AIP.pdf
Description
Summary: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.