Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces

• Main Authors: GANIEV, Inomjon G., Mukhamedov, Farrukh M.
• Format: Article
• Language: English; English
• Published: Elsevier BV 2017
• Subjects: QA Mathematics; QA300 Analysis
• Online Access: http://irep.iium.edu.my/62786/1/62786_Conditional%20expectations%20and%20martingales%20_article.pdf; http://irep.iium.edu.my/62786/2/62786_Conditional%20expectations%20and%20martingales%20_new_scopus.pdf; http://irep.iium.edu.my/62786/; https://www.sciencedirect.com/science/article/pii/S0252960217300553?via%3Dihub#!

In this paper we prove the existence of conditional expectations in the noncommutative Lp(M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales i...