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We classify operator systems $S\subseteq \mathcal B(H)$ that act on finite dimensional Hilbert spaces by making use of the noncommutative Choquet boundary.
The representation of linear functionals by measures on sets of extreme points
E. Bishop and K. de Leeuw · 1959
Earlier work this paper cites.
Lectures on Choquet’s theorem
R. R. Phelps · 1966
Earlier work this paper cites.
Subalgebras of C ∗ C^{*} -algebras
W. Arveson · 1969
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Injectivity and operator spaces
M.-D. Choi and E. Effros · 1977
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Lectures on Choquet’s theorem
R. R. Phelps · 2001
Cited alongside, same era.
Completely bounded maps and operator algebras
V. Paulsen · 2002
Cited alongside, same era.
Operator algebras and their modules
D. Blecher and C. Le Merdy · 2004
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The noncommutative Choquet boundary
W. Arveson · 2008
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The noncommutative Choquet boundary II: Hyperrigidity
W. Arveson · 2008
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