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Topologies On The Set Of Operators On A Hilbert SpaceIn mathematics, the requirements of functional analysis mean there are several standard topologies which are given to the set of bounded linear operators on a Hilbert space. Some facts The norm topology is stronger than the strong operator topology which is stronger than the weak operator topology. The norm topology is stronger than the weak-star topology which is stronger than the weak operator topology. The closures of a convex set in the strong and the weak operator topologies coincide. The weak operator topology and the weak-star topology agree on norm-bounded sets. See also:
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