Comparing σ-algebras generated by some locally convex vector topologies on B(H)

Let B(H) be the set of all bounded linear operators on a Hilbert space H. Here, we investigate the σ -algebras generated by seven locally convex vector topologies on B(H), where H is a nonseparable Hilbert space. Moreover, by presenting some examples we show the set of operator valued τ -measurable functions is not closed under addition and product operations, where τ runs over these seven topologies