(T : F →L[ℂ] F) (c : ℝ) {S : Submodule ℂ F} (hS : 0 < Module.finrank ℂ S) : rayleighSup (shiftOp T c) S = rayleighSup T S + c
ProvedBookProof.RitzPerturbation.rayleighSup_shiftOptimepiece
Lean 4 theorem BookProof.RitzPerturbation.rayleighSup_shiftOp (module BookProof.RitzPerturbation), source chapter BookProof/ChapterRitzPerturbation.lean.
Preamble
-- Generated from ChapterSirkRitzPerturbation.lean — theorem BookProof.RitzPerturbation.rayleighSup_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.rayleighSup_shiftOp (T : F →L[ℂ] F) (c : ℝ) {S : Submodule ℂ F}
(hS : 0 < Module.finrank ℂ S) :
rayleighSup (shiftOp T c) S = rayleighSup T S + c := by sorrySource