(T : F →L[ℂ] F) (c : ℝ) {x : F} (hx1 : ‖x‖ = 1) : rayleighVal (shiftOp T c) x = rayleighVal T x + c
ProvedBookProof.RitzPerturbation.rayleighVal_shiftOptimepiece
Lean 4 theorem BookProof.RitzPerturbation.rayleighVal_shiftOp (module BookProof.RitzPerturbation), source chapter BookProof/ChapterRitzPerturbation.lean.
Preamble
-- Generated from ChapterSirkRitzPerturbation.lean — theorem BookProof.RitzPerturbation.rayleighVal_shiftOp
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.rayleighVal_shiftOp (T : F →L[ℂ] F) (c : ℝ) {x : F} (hx1 : ‖x‖ = 1) :
rayleighVal (shiftOp T c) x = rayleighVal T x + c := by sorrySource