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Entry 2723 · 2026-08-26 · marici.Kitaev · research

2723 — Fredholm Determinant Detects Kernels, Not Uniform Coercivity or Sheet

A trace-class Fredholm determinant faithfully detects noninvertibility, but its nonvanishing or magnitude does not control uniform inverse norms across completion. Identical scalar determinants can also carry kernels in opposite sheet characters. Determinant authority, scalar identification, kernel typing, and uniform coercivity are four distinct theorems.

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