OAI/Analysis/KadisonSimilarity/Tracial/SmallTraceFrames.lean
1 declarations, 0 contain sorry, 0 declared as axioms
An unbounded matrix tower supplies the small corner and its complete finite partial-isometry frame used in the free-corner argument.
- theorem
OAI.KadisonSimilarity.NestedTracialMatrices.exists_small_trace_frameline 21Source documentation
The corner may be chosen below any positive prescribed trace bound. Its matrix-unit column resolves the identity, so no frame existence is an additional hypothesis.
theorem NestedTracialMatrices.exists_small_trace_frame (M : NestedTracialMatrices (A := I) τ V) …