Some dominated convergence theorems in a von Neumann algebra
Some dominated convergence theorems in a von Neumann algebra
In his fundamental paper 2-, Stinespring proved several dominated convergence theorems for operators measurable w.r.t, a gage space.In this paper we state and prove some dominated convergence theorems.One of our theorems is a generalisation of a theorem of Stinespring 2. In the others, we obtain some results under assumptions, which …