TOPICS IN POINTWISE CONVERGENCE IN L2 OVER A VON NEUMANN ALGEBRA (A SURVEY)
Research supported by KBN grant 211529101.
The paper is a survey of some recent results concerning the limit theorems in L2-space over a von Neumann algebra with a faithful normal state. Different kinds of convergence in L2 which are noncommutative analogues of the classical almost everywhere convergence are considered. Typical results are formulated and some of them with proofs.