HilbertOperators / CONCEPT
Approximation-number Ky Fan triangle
Finite approximation-number prefixes obey the triangle inequality on arbitrary complex Hilbert spaces.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS0
lower_bound_of_lt_rank
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Approximation numbers and strict-threshold test subspacesstructural-affinity · Closed
- HermitianEigenvaluePerturbationstructural-affinity · Closed
- Ky Fan gap definitionsstructural-affinity · Closed
- Passive Sector-Pair Boundstructural-affinity · Closed
- Rectangular attainmentstructural-affinity · Closed
- Rectangular Variational Boundstructural-affinity · Closed
- Second-norm equality does not determine the graphstructural-affinity · Closed
- Signed variational interfacestructural-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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