C-star similarity hypothesis contract

Family 288: Kadison's similarity conjecture. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Track when a bounded complex-linear unital homomorphism is similar to a star homomorphism.

Applicability and commercial boundary

The bounded invertible similarity operator need not be well conditioned, small or efficiently computable.

Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

Next verification action

Extract quantitative similarity bounds and a finite restricted example.

Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Kadison's similarity theorem through uniform derivation estimates.