trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

BalancedHankelSchmidt

Balanced actual Gramians yield the complete Schmidt decomposition of the true infinite Hankel operator.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH9
DOCUMENT LINKS0
THEOREM

hankel isometric factorization

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BalancedRealizationTransportBalancedRealizationTransportInfiniteHankelGramianInfiniteHankelGramianHankel Gramian Singular ValuesHankel Gramian Singular ValuesBalancedHankelSchmidtBalancedHankelSchmidtMinimum Seidel energy of chain graphsMinimum Seidel energy of chaingraphsOrdered Balanced CoordinatesOrdered Balanced Coordinates
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Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/Hankel/BalancedHankelSchmidt
Repository path
D5/S3/Observer/Hankel/BalancedHankelSchmidt.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.