(hres : StrongResolventConvergence T S) (y : H) : Tendsto (fun n => resDiff T S n y) atTop (š 0)
ProvedBookProof.ChapterSirkTrotterKato.tendsto_resDiffsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkTrotterKato.tendsto_resDiff (module BookProof.ChapterSirkTrotterKato), source chapter BookProof/ChapterChapterSirkTrotterKato.lean.
Preamble
-- Generated from ChapterSirkTrotterKato.lean ā theorem BookProof.ChapterSirkTrotterKato.tendsto_resDiff
import Mathlib
import Definitions.Def_ChapterSirkTrotterKato
open BookProof.ChapterSirkTrotterKato
noncomputable section
open Filter Topology Asymptotics
open scoped InnerProductSpace
open BookProof.ChapterStoneResolvent
variable {H : Type*} [NormedAddCommGroup H] [InnerProductSpace ā H] [CompleteSpace H]
variable (T : UnboundedSelfAdjoint H) (S : ā ā UnboundedSelfAdjoint H)Formal statement
theorem BookProof.ChapterSirkTrotterKato.tendsto_resDiff (hres : StrongResolventConvergence T S) (y : H) :
Tendsto (fun n => resDiff T S n y) atTop (š 0) := by sorrySource