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Gelfand–Naimark–Segal construction

In functional analysis, a discipline within mathematics, given a C ∗ {\displaystyle C^{*}} -algebra A {\displaystyle A} , the Gelfand–Naimark–Segal construction establishes a correspondence between cyclic ∗ {\displaystyle *} -representations of A {\displaystyle A} and certain linear functionals on A {\displaystyle A} (called states). The correspondence…

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Gelfand–Naimark–Segal construction

Nodes45
Edges44
Triples0
Avg. degree1.96
Density0.044444
Components1

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displaystyle pi representation state cyclic theorem space xi -algebra hilbert vector irreducible construction gns states positive norm functionals -representation identity

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