{A : F →L[ℂ] F} (hA : IsSelfAdjoint A) (c : ℝ) : IsSelfAdjoint (A - (c : ℝ) • (1 : F →L[ℂ] F))
ProvedBookProof.RitzCertificate.isSelfAdjoint_sub_consttimepiece
Lean 4 theorem BookProof.RitzCertificate.isSelfAdjoint_sub_const (module BookProof.RitzCertificate), source chapter BookProof/ChapterRitzCertificate.lean.
Preamble
-- Generated from ChapterRitzCertificate.lean — theorem BookProof.RitzCertificate.isSelfAdjoint_sub_const
import Mathlib
import Definitions.Def_ChapterRitzCertificate
open BookProof.RitzCertificate
noncomputable section
open Filter Topology
open BookProof.FockOneParticleGap BookProof.FockSecondQuantization
open BookProof.ChapterSirkRitzSpectrum BookProof.BandEnclosure
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F] [CompleteSpace F]Formal statement
theorem BookProof.RitzCertificate.isSelfAdjoint_sub_const {A : F →L[ℂ] F} (hA : IsSelfAdjoint A) (c : ℝ) :
IsSelfAdjoint (A - (c : ℝ) • (1 : F →L[ℂ] F)) := by sorrySource