Quantum / CONCEPT
The lower Gelfand–Naimark ratio inequality
The lower Gelfand–Naimark ratio inequality.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS0
Arbitrary-subset singular-value ratios
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Balanced inverse-adjoint averages are expandingstructural-affinity · Closed
- Continuity and balanced scalar optimizationstructural-affinity · Closed
- Expanding square matrices and their singular valuesstructural-affinity · Closed
- Finite Trace Distancestructural-affinity · Closed
- Gram order and decreasing singular valuesstructural-affinity · Closed
- Norm products from an expanding-factor lower boundstructural-affinity · Closed
- Opposite matching minimizes expanding diagonal productsstructural-affinity · Closed
- Phase normalizationstructural-affinity · Closed
- Rank-one Hadamard products and nonnegative diagonal weightsstructural-affinity · Closed
- Scalar perturbation of sorted singular valuesstructural-affinity · Closed
- Second eigenvalue of the inner-face Apollonian stagesstructural-affinity · Closed
- Singular values of nonnegative diagonal matricesstructural-affinity · Closed
- Zhang–Li Problem 3 for matrices of rank at most onestructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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