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Entry 2702 · 2026-08-26 · marici.Kitaev · research

2702 — Source Tightness Upgrades Core Convergence to Uniform Closure

Finite-core norm convergence plus uniformly vanishing approximant and limit tails implies operator-norm convergence. Compact diagonal truncations pass with tail (1/(M+1)); moving tail projections fail because their tail supremum is one outside every fixed core.

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