2025/01/13 by Sukochev, Fedor, Zhou, Dejian
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.2501.07064
Let (xk)k=1n be positive elements in the noncommutative Lebesgue space Lp(M), and let (Ek)k=1n be a sequence of conditional expectations with respect to an increasing subalgebras (Mn)k≥1 of the finite von Neumann algebra M. We establish the following sharp noncommutative dual Doob inequalities: \beginequation* ‖ ∑k=1nxk‖Lp(M)≤ (1)/(p) ‖ ∑k=1nEk(xk)‖Lp(M), 0