Abstract characterization of a conditional expectation operator on the space of measurable sections

A conditional expectation operator plays an important role in geometry of Banach spaces. However, the main issue is with regards to the existence of a conditional expectation operator that permits other objects to be considered such as martingales and martingale convergence theorems. Thus, the purp...

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Bibliographic Details
Main Authors: Ganiev, Inomjon G., Hassan, Torla
Format: Article
Language:English
English
English
Published: Penerbit Universiti Kebangsaan Malaysia 2017
Subjects:
Online Access:http://irep.iium.edu.my/57151/1/57151_Abstract%20Characterization%20_text.pdf
http://irep.iium.edu.my/57151/2/57151_Abstract%20Characterization%20_WOS.pdf
http://irep.iium.edu.my/57151/3/57151_Abstract%20Characterization%20_SCOPUS.pdf
http://irep.iium.edu.my/57151/
http://www.uk.my/jsm/pdf_files/SM-PDF-46-1-2017/22%20Inomjon%20Ganiev.pdf
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Summary:A conditional expectation operator plays an important role in geometry of Banach spaces. However, the main issue is with regards to the existence of a conditional expectation operator that permits other objects to be considered such as martingales and martingale convergence theorems. Thus, the purpose of this study is to provide an abstract characterization of a conditional expectation operator on a space of measurable sections.