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A double commutant theorem for operator algebras

David P. Blecher·Baruch Solel
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Abstract

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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David P. Blecher, Baruch Solel. 2003-03-26. A double commutant theorem for operator algebras. https://arxiv.org/abs/math/0303338

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