Speaker: Narcisse Randrianantoanina, Miami University

Time: July 20, 16:20-17:00

Address: Room 327, 3rd floor, New Activity Center, HIT

Title: Burkholder/Rosenthal inequalities in noncommutative symmetric spaces

Abstract: We will discuss recent developments on noncommutative martingale inequalities in general symmetric spaces. More precisely, we provide optimal conditions on the symmetric space E that insure the validity of Burkholder/Rosenthal inequalities. Namely, we will show that if a noncommutative symmetric space E is an interpolation of the couple (L_p, L_2)(for some 1