A pure state is an extreme point of the state space. The Krein-Milman theorem guarantees pure states, and every positive element attains its norm at some pure state.

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  1. State on a C-star algebra
  2. Positive functional on a C-star algebra
  3. C-star algebra
  4. Banach algebra
  5. Functional analysis
  6. Analysis
  7. Area of mathematics
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