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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“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“Life is a series of sensations connected to different states of consciousness.”
—Rémy De Gourmont (1858–1915)