A double commutant theorem for operator algebras

Details A double commutant theorem for operator algebras A double commutant theorem for operator algebras

2003-03-26

arxiv.org/abs/math/0303338v1

Mathematics

Operator Algebras

17 pages

Scientific paper

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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