Quantum / CONCEPT
Positivity at both endpoints
The sandwich derivative applied to a resolvent increment is positive at both endpoints.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS0
The two endpoint derivatives are positive semidefinite
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
- A counterexample to the radial convexity characterizationstructural-affinity · Closed
- A three-node resolvent estimatestructural-affinity · Closed
- Cartesian variancestructural-affinity · Closed
- OverlapLowRankDistancestructural-affinity · Closed
- Radial convexity and endpoint derivativesstructural-affinity · Closed
- Resolvent derivatives and radial distancestructural-affinity · Closed
- The rational functional-calculus expressionstructural-affinity · Closed
- Zero diagonal blocksstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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