trureturingGitHub MATHEMATICAL ATLAS

QuadraticForms / CONCEPT

The geometric core of nuclear-norm additivity

A common contraction saturates a positive weighted pairing exactly when the normalized Gram matrices agree.

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THEOREM

Positive weights and a common contraction

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The geometric core of nuclear-norm additivityThe geometric core of nuclear-norm additivityReal rectangular nuclear-norm additivityReal rectangular nuclear-normadditivity
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
QuadraticForms
Node ID
D5/S3/QuadraticForms/WeightedGramContraction
Repository path
D5/S3/QuadraticForms/WeightedGramContraction.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.