Ultrastrong topology

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. It was introduced by John von Neumann in 1936.

Ultrastrong topology

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. It was introduced by John von Neumann in 1936.