Properties of States
- a tracial state is a state such that
For any separable C*-algebra, the set of tracial states is a Choquet simplex).
- a state is called normal, iff for every monotone, increasing net of operators with upper bound, converges to .
- a state is said to be faithful, if the image of strictly positive operators is itself strictly positive
Read more about this topic: State (functional Analysis)
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—John Locke (1632–1704)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)
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