| Ultraweak topology at AllExperts (312 words) |
 | In functional analysis, the ultraweak topology, also called the weak-* topology, or weak-* operator topology or σ-weak topology, on the set B(H) of bounded operators on a Hilbert space is the weak-* topology obtained from the predual B |
| In other words it is the weakest topology such that all elements of the predual are continuous (when considered as functions on B(H)). |
| In general the ultraweak topology is better than the weak operator topology, but is more complicated to define so people usually use the weak operator topology if they can get away with it. |
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