Fuglede-Putnam theorem for locally measurable operators
  We extend the Fuglede-Putnam theorem from the algebra $B(H)$ of all bounded operators on the Hilbert space $H$ to the algebra of all locally measurable operators affiliated with a von Neumann algebra. 
A. Ber, V. Chilin, F. Sukochev, D. Zanin
math.OA