(T T' : F →L[ℂ] F) {S : Submodule ℂ F} (hS : 0 < Module.finrank ℂ S) : |rayleighSup T S - rayleighSup T' S| ≤ ‖T - T'‖
ProvedBookProof.RitzPerturbation.abs_rayleighSup_sub_le_disttimepiece
Lean 4 theorem BookProof.RitzPerturbation.abs_rayleighSup_sub_le_dist (module BookProof.RitzPerturbation), source chapter BookProof/ChapterRitzPerturbation.lean.
Preamble
-- Generated from ChapterSirkRitzPerturbation.lean — theorem BookProof.RitzPerturbation.abs_rayleighSup_sub_le_dist
import Mathlib
import Definitions.Def_ChapterSirkRitzPerturbation
open BookProof.RitzPerturbation
noncomputable section
open BookProof.RitzMinMax BookProof.ChapterSirkRitzSpectrum BookProof.HermiteGalerkin
open Filter Topology
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]Formal statement
theorem BookProof.RitzPerturbation.abs_rayleighSup_sub_le_dist (T T' : F →L[ℂ] F) {S : Submodule ℂ F}
(hS : 0 < Module.finrank ℂ S) :
|rayleighSup T S - rayleighSup T' S| ≤ ‖T - T'‖ := by sorrySource