Observer / CONCEPT
Finite Common-Spectrum Criterion
A finite rational-feature Gram exists exactly when its inverse coefficient congruence is a positive Hermitian Toeplitz matrix.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS1
Finite rational Grams are exactly positive Toeplitz transforms
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A field of definition obstruction to uniform Toeplitz factorizationstructural-affinity · Closed
- CircleHerglotzCompletionstructural-affinity · Closed
- CircleProbabilitySemigroupstructural-affinity · Closed
- Common-Spectrum Master Feasibilitystructural-affinity · Closed
- Exact Common-Spectrum Floorstructural-affinity · Closed
- Exact Truncated Haar Floorstructural-affinity · Closed
- Finite Resolvent--Clark Identitystructural-affinity · Closed
- GeometricLiNegativeTypestructural-affinity · Closed
- Li Curvature Criterionstructural-affinity · Closed
- LiCurvatureLevyDecompositionstructural-affinity · Closed
- LiCurvatureProbabilityCompletionstructural-affinity · Closed
- LiCurvatureSchoenbergSemigroupstructural-affinity · Closed
- Rational-Toeplitz Collapsestructural-affinity · Closed
- Truncated Circle Moment Bridgestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance