Conditionally expectations and martingales in noncommutative $L_p$-spaces associated with center-valued traces
Operator Algebras
2017-08-15 v1 Functional Analysis
Abstract
In this paper we prove the existence of conditional expectations in the noncommutative 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 the martingales in noncommutative spaces.
Keywords
Cite
@article{arxiv.1603.08621,
title = {Conditionally expectations and martingales in noncommutative $L_p$-spaces associated with center-valued traces},
author = {Inomjon Ganiev and Farrukh Mukhamedov},
journal= {arXiv preprint arXiv:1603.08621},
year = {2017}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1603.07812; text overlap with arXiv:1007.1878 by other authors