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Operator-algebra perturbation scope audit

Family 289: Strong Kadison–Kastler stability and its spatial boundaries. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Distinguish close unital von Neumann algebras on one Hilbert space from one-sided near inclusions and norm-separable C-star cases.

Applicability and commercial boundary

Unit-ball operator-norm closeness and a universal tolerance are specific. Stronger spatial conclusions fail in companion regimes.

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

Read tolerance effectiveness and exact 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.

Universal strong Kadison–Kastler stability.