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arXiv · 1603.08621

Conditionally expectations and martingales in noncommutative $L_p$-spaces associated with center-valued traces

Inomjon Ganiev·Farrukh Mukhamedov
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Abstract

In this paper we prove the existence of conditional expectations in the noncommutative $L_p(M,Φ)$ 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 the martingales in noncommutative $L_p(M,Φ)$ spaces.

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Inomjon Ganiev, Farrukh Mukhamedov. 2016-03-29. Conditionally expectations and martingales in noncommutative $L_p$-spaces associated with center-valued traces. https://doi.org/10.1016/s0252-9602(17)30055-3

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