In functional analysis, the ultrastrong topology, or σ-strong topology, or strongest topology on the set B(H) of bounded operators on a Hilbert space is the topology defined by the family of seminorms
for positive elements of the predual that consists of trace class operators.
[1]: 68
It was introduced by John von Neumann in 1936.
[2]
^Takesaki, Masamichi (2002). Theory of operator algebras. I. Berlin: Springer-Verlag. ISBN 3-540-42248-X.
^von Neumann, John (1936), "On a Certain Topology for Rings of Operators", Annals of Mathematics, Second Series, 37 (1): 111–115, doi:10.2307/1968692, JSTOR 1968692
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