Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:C*-algebra
|
| gptkbp:application |
gptkb:Invariant_subspace_problem
Operator theory |
| gptkbp:characterizedBy |
Invariant under a nest of subspaces
|
| gptkbp:definedIn |
Algebra of bounded linear operators on a Hilbert space associated with a nest
|
| gptkbp:example |
Upper triangular matrices
Algebra of all operators leaving a chain of subspaces invariant |
| gptkbp:field |
gptkb:Mathematics
Functional Analysis |
| gptkbp:hasProperty |
Reflexivity
Triangular structure |
| gptkbp:hasSubgroup |
gptkb:Non-self-adjoint_Operator_Algebras
gptkb:Reflexive_Algebras |
| https://www.w3.org/2000/01/rdf-schema#label |
Nest Algebras
|
| gptkbp:introduced |
gptkb:Ringrose
|
| gptkbp:introducedIn |
1976
|
| gptkbp:relatedTo |
gptkb:Hilbert_Space
gptkb:Von_Neumann_Algebra gptkb:Lattice_Theory |
| gptkbp:seeAlso |
gptkb:C*-algebra
Commutant Subspace Lattice |
| gptkbp:studiedIn |
Functional Analysis
|
| gptkbp:bfsParent |
gptkb:Kenneth_S._M._Davidson
|
| gptkbp:bfsLayer |
6
|