Observer / CONCEPT
Finite Subspace Complement Absorption
Removing a finite-dimensional subspace preserves the Hilbert dimension and unitary type of an infinite-dimensional Hilbert space.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
A finite extraction leaves a full-dimensional complement
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
- Constant Stage Dimension with Zero Terminal Residualstructural-affinity · Closed
- Hilbert Resolution Hierarchystructural-affinity · Closed
- One-Step Quotient Splitstructural-affinity · Closed
- Quotient and Orthogonal Complementstructural-affinity · Closed
- Quotient-Compatible Residual Transportstructural-affinity · Closed
- Relative Quotient Decompositionstructural-affinity · Closed
- Residual Progress Measuresstructural-affinity · Closed
- Transfinite Hilbert-Basis Residual Towerstructural-affinity · Closed
- Unique Minimal Target Completionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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