© 2020, Allerton Press, Inc. Let τ be a faithful normal semifinite trace on a von Neumann algebra. We establish the Leibniz criterion for sign-alternating series of τ-measurable operators and present an analogue of the ...

We study idempotent tau-measurable operators affiliated to a von Neumann algebra

We investigate some sets of measurable operators convex and closed in topology of convergence in measure.

Given a von Neumann algebra $M$ of operators on a Hilbert space $H$ and a faithful normal semifinite trace $\tau$ on $M$, denote by $S(M, \tau)$ the *-algebra of $\tau$-measurable operators. We obtain a sufficient condition ...

We introduce two classes of tau-measurable operators affiliated with a von Neumann algebra.