Quantum / CONCEPT
Resolvent derivatives and radial distance
The derivative of the three-resolvent map and trace duality reduce radial convexity to endpoint positivity.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH8
DOCUMENT LINKS0
Positive endpoint derivatives imply radial convexity
RELATIONSHIP ATLAS
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Direct recorded relationships
Proof dependencyStructural affinityDocument link
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Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A counterexample to the radial convexity characterizationstructural-affinity · Closed
- A three-node resolvent estimatestructural-affinity · Closed
- Amending coherence-breaking iterates with one unitarystructural-affinity · Closed
- Both spectral properties of the map Psistructural-affinity · Closed
- Cartesian variancestructural-affinity · Closed
- Cayley transforms and resolvent incrementsstructural-affinity · Closed
- Conditional Record Capacitystructural-affinity · Closed
- Monomial Matrices Preserve Diagonalitystructural-affinity · Closed
- Positivity at both endpointsstructural-affinity · Closed
- Radial convexity and endpoint derivativesstructural-affinity · Closed
- The exact component count of a strange quantum graphstructural-affinity · Closed
- The rational functional-calculus expressionstructural-affinity · Closed
- Weil: Rank Tracestructural-affinity · Closed
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