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6. von Neumann algebras
The theory of von Neumann algebras is a tool for exploring non-commutative situations, an ambition that goes far beyond the scope of this article. Here, we will focus on just a few elementary aspects, with the main aim of deepening our knowledge of the Borelian calculus and, in particular, identifying its image and continuity properties.
Among the topologies carried by
, apart from that of the norm, two are particularly important: the strong topology generated by...
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von Neumann algebras
Commutative maximal algebras
Bibliography
Websites
PAULIN (F.). – Complements to spectral theory and harmonic analysis http://www.math.u-psud.fr/∼ paulin/notescours/cours_magistere2.pdf
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