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Note on the Kadison-Singer Problem and its Solution Raghav Somani March 21, 2021 The Kadison-Singer problem arose from the work on quantum mechanics done by Paul Dirac in the 1930s. It was formalized by Kadison and Singer in 1959 as a problem in functional analysis [KS59] while trying to make Dirac’s axioms for quantum mechanics mathematically rigorous in the context of von Neumann algebras (Definition 26). The problem is equivalent to fundamental problems in areas like Operator theory,…

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