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Strong operator topology

In functional analysis, the strong operator topology, often abbreviated SOT, is the weakest topology on the set of bounded operators on a Hilbert space such that the evaluation map sending an operator T to the real number is continuous for each vector x in the Hilbert space.

The SOT is stronger than the weak operator topology and weaker than the norm topology.

See also weak topology, weak-star topology.

Referenced By

List of functional analysis topics | List of mathematical topics (S-U)

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Strong operator topology".

 

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