Abstract
SupposeM is a von Neumann algebra on a Hilbert spaceH andI is any norm closed ideal inM. We extend to this setting the well known fact that the compact operators on a Hilbert space are precisely those whose restrictions to the closed unit ball are weak to norm continuous.
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Condradie, J., West, G. Topological and bornological characterisations of ideals in von Neumann algebras: II. Integr equ oper theory 23, 49–60 (1995). https://doi.org/10.1007/BF01261202
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DOI: https://doi.org/10.1007/BF01261202