OAI/GroupTheory/PolycyclicRecognition/Algebra/DiagonalDominantElement.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Spectral gaps for actual diagonal matrix actions

For the coordinate supremum norm, the restriction to a coordinate kernel is bounded by the largest remaining diagonal entry. Strict spectral gaps therefore supply all analytic estimates in the free-conjugate theorem.

  1. theorem OAI.PolycyclicRecognition.finite_diagonal_gap line 15
  2. theorem OAI.PolycyclicRecognition.diagonal_coordinate_kernel_bound line 34
  3. theorem OAI.PolycyclicRecognition.diagonal_entry_ne_zero line 48
  4. theorem OAI.PolycyclicRecognition.PolynomialMatrixGroup.free_conjugate_powers_of_diagonal_gaps line 68