Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_spaces
dimension at least 3 |
| gptkbp:field |
gptkb:mathematics
functional analysis quantum mechanics |
| https://www.w3.org/2000/01/rdf-schema#label |
Gleason's theorem
|
| gptkbp:influenced |
gptkb:quantum_probability_theory
gptkb:Kochen–Specker_theorem |
| gptkbp:namedAfter |
gptkb:Andrew_Gleason
|
| gptkbp:provenBy |
Born rule for quantum probabilities
|
| gptkbp:publishedIn |
gptkb:Journal_of_Mathematics_and_Mechanics
|
| gptkbp:relatedTo |
foundations of quantum mechanics
quantum logic |
| gptkbp:result |
Characterization of measures on the lattice of subspaces of a Hilbert space
|
| gptkbp:state |
Every measure on the closed subspaces of a Hilbert space of dimension at least 3 is given by a density operator
|
| gptkbp:usedIn |
gptkb:quantum_information_theory
quantum foundations |
| gptkbp:yearProved |
1957
|
| gptkbp:bfsParent |
gptkb:Mackey–Gleason_problem
gptkb:Andrew_Gleason |
| gptkbp:bfsLayer |
6
|