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About: Kaplansky density theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatMathematicalTheoremsyago:WikicatTheoremsInFunctionalAnalysisyago:WikicatVonNeumannAlgebrasyago:Abstraction100002137yago:Algebra106012726yago:Cognition100023271yago:Communication100033020yago:Content105809192yago:Discipline105996646yago:KnowledgeDomain105999266yago:Mathematics106000644yago:Message106598915yago:Proposition106750804yago:PsychologicalFeature100023100yago:PureMathematics106003682yago:Science105999797yago:Statement106722453yago:Theorem106752293 New Facet based on Instances of this Class

In the theory of von Neumann algebras, the Kaplansky density theorem, due to Irving Kaplansky, is a fundamental approximation theorem. The importance and ubiquity of this technical tool led to comment in one of his books that, The density theorem is Kaplansky's great gift to mankind. It can be used every day, and twice on Sundays.