A double commutant theorem for operator algebras
classification
🧮 math.OA
math.FA
keywords
commutantdoubleoperatortheoremalgebraalgebrascanonicalclasses
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Every unital nonselfadjoint operator algebra possesses canonical and functorial classes of faithful (even completely isometric) Hilbert space representations satisfying a double commutant theorem generalizing von Neumann's classical result. Examples and complementary results are given.
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