[Nontrivial F] (T : F →L[ℂ] F) (hT : IsSelfAdjoint T) : sInf (spectrum ℝ T) = rayleighInf T
ProvedBookProof.ChapterSirkRitzSpectrum.sInf_spectrum_eq_rayleighInfsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkRitzSpectrum.sInf_spectrum_eq_rayleighInf (module BookProof.ChapterSirkRitzSpectrum), source chapter BookProof/ChapterChapterSirkRitzSpectrum.lean.
Preamble
-- Generated from ChapterSirkRitzSpectrum.lean — theorem BookProof.ChapterSirkRitzSpectrum.sInf_spectrum_eq_rayleighInf
import Mathlib
import Definitions.Def_ChapterSirkRitzSpectrum
open BookProof.ChapterSirkRitzSpectrum
noncomputable section
open Filter Topology RCLike ContinuousLinearMap ComplexOrder Pointwise
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]Formal statement
theorem BookProof.ChapterSirkRitzSpectrum.sInf_spectrum_eq_rayleighInf [Nontrivial F] (T : F →L[ℂ] F) (hT : IsSelfAdjoint T) :
sInf (spectrum ℝ T) = rayleighInf T := by sorrySource