Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
matrices
|
| gptkbp:defines |
A norm on matrices that is invariant under unitary transformations.
|
| gptkbp:example |
gptkb:Schatten_p-norm
gptkb:Ky_Fan_norm operator norm |
| gptkbp:field |
linear algebra
matrix analysis |
| gptkbp:hasInvariant |
unitary equivalence
unitary similarity |
| https://www.w3.org/2000/01/rdf-schema#label |
unitarily invariant norm
|
| gptkbp:property |
For any matrix A and unitary matrices U, V, the norm of UAV equals the norm of A.
|
| gptkbp:relatedTo |
singular values
|
| gptkbp:usedIn |
gptkb:quantum_information_theory
matrix inequalities |
| gptkbp:bfsParent |
gptkb:Hilbert–Schmidt_norm
|
| gptkbp:bfsLayer |
7
|