Quantum / CONCEPT
A positive block does not force normality
An admissible scalar pair gives a positive block for a nonnormal complex matrix.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS0
The universal equivalence is false
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 mixed-power norm monotonicitystructural-affinity · Closed
- Classical finite mixturesstructural-affinity · Closed
- Coherent Premeasurement and Correlation Taxstructural-affinity · Closed
- Energy and Information with Initial Correlationsstructural-affinity · Closed
- Entropy Production by Coherence Deletionstructural-affinity · Closed
- Failure of differentiabilitystructural-affinity · Closed
- Fuchs's physical-basis logarithm question is falsestructural-affinity · Closed
- Mixture boundsstructural-affinity · Closed
- PositiveMapJensenstructural-affinity · Closed
- The sharp upper endpoint of the Zhang–Jing power blockstructural-affinity · Closed
- Word traces do not control fractional Schatten normsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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