Disambiguation evidence for von Neumann algebras via surface form
"von Neumann algebra"
As subject (52)
Triples where this entity appears as subject under the
label "von Neumann algebra".
| Predicate | Object |
|---|---|
| alsoKnownAs |
von Neumann algebras
ⓘ
surface form:
W*-algebra
|
| characterizedAs | C*-algebra that is double commutant of a set of operators ⓘ |
| characterizedAs | C*-algebra that is strong-operator closed ⓘ |
| characterizedAs | C*-algebra that is weak-operator closed ⓘ |
| classificationBy | type decomposition ⓘ |
| closedIn | strong operator topology ⓘ |
| closedIn | weak operator topology ⓘ |
| closedUnder | addition ⓘ |
| closedUnder | adjoint operation ⓘ |
| closedUnder | operator multiplication ⓘ |
| closedUnder | scalar multiplication ⓘ |
| consistsOf | bounded linear operators ⓘ |
| contains | identity operator ⓘ |
| definedOn | Hilbert space ⓘ |
| field | functional analysis ⓘ |
| field | mathematical physics ⓘ |
| field | operator algebras ⓘ |
| field | quantum theory ⓘ |
| hasKeyConcept | center ⓘ |
| hasKeyConcept | commutant ⓘ |
| hasKeyConcept | double commutant ⓘ |
| hasKeyConcept | factor ⓘ |
| hasKeyConcept | modular theory ⓘ |
| hasKeyConcept | normal state ⓘ |
| hasKeyConcept | predual ⓘ |
| hasKeyConcept | projection ⓘ |
| hasKeyConcept | trace ⓘ |
| hasOperation | conditional expectation ⓘ |
| hasOperation | direct integral decomposition ⓘ |
| hasProperty | always has a unique predual up to isometry ⓘ |
| hasProperty | closed in ultrastrong topology ⓘ |
| hasProperty | closed in ultraweak topology ⓘ |
| hasProperty | dual space of its predual ⓘ |
| hasType | type I von Neumann algebra ⓘ |
| hasType |
von Neumann algebras
self-linksurface differs
ⓘ
surface form:
type II von Neumann algebra
|
| hasType | type III von Neumann algebra ⓘ |
| instanceOf | *-algebra ⓘ |
| instanceOf | C*-algebra ⓘ |
| instanceOf | mathematical structure ⓘ |
| instanceOf | operator algebra ⓘ |
| introducedBy | John von Neumann ⓘ |
| relatedTo | Banach space ⓘ |
| relatedTo | C*-algebra ⓘ |
| relatedTo |
Hilbert spaces
ⓘ
surface form:
Hilbert space
|
| subtype | hyperfinite II_1 factor ⓘ |
| subtype | type III_λ factor ⓘ |
| subtype | type II_1 factor ⓘ |
| subtype | type II_∞ factor ⓘ |
| usedIn | algebraic quantum field theory ⓘ |
| usedIn | noncommutative geometry ⓘ |
| usedIn | noncommutative probability ⓘ |
| usedIn | quantum statistical mechanics ⓘ |