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Representation stability hypothesis adapter

Family 251: Amenability, unitarizability, and strong Ulam stability. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Distinguish amenability, unitarizability and strong operator-norm Ulam stability for the specified groups and Hilbert representations.

Applicability and commercial boundary

Potentially infinite Hilbert spaces and uniform boundedness matter; the result is not a finite numerical conditioning guarantee.

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 constants and finite restricted representations.

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.

Unitarizability implies amenability for discrete groups.