Random Series of Trace Class Operators

Understand

In this lecture, we present some results on Gaussian (or Rademacher) random series of trace class operators, mainly due jointly with F.

• Lust-Piquard.
• We will emphasize the probabilistic reformulation of these results, as well as the open problems suggested by them.
• We start by a brief survey of what is known about the problem of characterizing a.s.