OAI/Analysis/JiangSu/MatrixAlgebras/MatrixTraces.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

1. lemma OAI.Pureness.matrixTraceLinear_apply line 14
2. lemma OAI.Pureness.matrixTrace_one line 17
3. def OAI.Pureness.matrixTracialState line 21
4. def OAI.Pureness.matrixRank line 38
5. def OAI.Pureness.positivePower line 50
6. lemma OAI.Pureness.positivePower_map line 52
7. lemma OAI.Pureness.positivePower_trace_tendsto line 62
8. lemma OAI.Pureness.diagonalMatrix_nonneg line 80
9. lemma OAI.Pureness.positivePower_diagonal line 84
10. lemma OAI.Pureness.matrixTrace_positivePower_diagonal line 92