Quantum / CONCEPT
Energy tightness and trace-norm compactness
Compactness of complete singular-energy state sublevels in trace norm.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH11
DOCUMENT LINKS0
State-slot lower semicontinuity on the positive cone
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 global entropy center before compactnessstructural-affinity · Closed
- Compression and discarded massstructural-affinity · Closed
- Entropy centers and one common referencestructural-affinity · Closed
- Extended entropy and real strong concavitystructural-affinity · Closed
- Finite-entropy relative entropy and a fixed referencestructural-affinity · Closed
- Full spectral energy, self entropy and dominationstructural-affinity · Closed
- Full-space thermal Hamiltoniansstructural-affinity · Closed
- Hellinger energy and the trace normstructural-affinity · Closed
- Ordered logarithmic energystructural-affinity · Closed
- Resolvent State Energy and Heat Tracestructural-affinity · Closed
- Strong Concavity Attainmentstructural-affinity · Closed
- Uniform Tail Amplificationstructural-affinity · Closed
- Zero spectral fibers and actual supportstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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