In functional analysis, a branch of mathematics, the ultraweak topology, also called the weak-* topology, or weak-* operator topology or σ-weak topology, is a topology on B(H), the space of bounded operators on a Hilbert space H. B(H) admits a predual B*(H), the trace class operators on H. The ultraweak topology is the weak-* topology so induced; in words, the ultraweak topology is the weakest topology such that predual elements remain continuous on B(H).[1]
mathematics, the ultraweaktopology, also called the weak-* topology, or weak-* operator topology or σ-weak topology, is a topology on B(H), the space...
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weak (operator) topology can be replaced by many other common topologies including the strong, ultrastrong or ultraweak operator topologies. The *-algebras...
weak operator, strong operator, *-strong operator, ultraweak, ultrastrong, and *-ultrastrong topologies. It is related to the Jacobson density theorem. Let...
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