OAI/MathematicalPhysics/DefocusingNLS/Spectrum/SpectralRemoteBlockOperator.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The matrix block projection and Sylvester inverse as operators on the actual four-dimensional remote state space.

  1. def OAI.DefocusingNLS.spectralRemoteOperatorMatrixL line 11
  2. def OAI.DefocusingNLS.spectralRemoteBlockMatrixL line 15
  3. def OAI.DefocusingNLS.spectralRemoteBlockOperator line 33
  4. theorem OAI.DefocusingNLS.spectralRemoteBlockOperator_apply line 36
  5. theorem OAI.DefocusingNLS.spectralRemoteBlockPart_idempotent line 40
  6. theorem OAI.DefocusingNLS.spectralRemoteBlockOperator_idempotent line 46
  7. def OAI.DefocusingNLS.spectralRemoteSylvesterMatrixL line 51
  8. def OAI.DefocusingNLS.spectralRemoteSylvesterOperator line 71
  9. theorem OAI.DefocusingNLS.spectralRemoteSylvesterOperator_commutator line 76