A double commutant theorem for operator algebras
Operator Algebras
2007-05-23 v1 Functional Analysis
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.
Cite
@article{arxiv.math/0303338,
title = {A double commutant theorem for operator algebras},
author = {David P. Blecher and Baruch Solel},
journal= {arXiv preprint arXiv:math/0303338},
year = {2007}
}
Comments
17 pages