(hres : StrongResolventConvergence T S) (v : H) (t : ℝ) : Tendsto (fun n => (S n).stoneU t v) atTop (𝓝 (T.stoneU t v))
ProvedBookProof.ChapterSirkTrotterKato.trotterKato_tendstosirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkTrotterKato.trotterKato_tendsto (module BookProof.ChapterSirkTrotterKato), source chapter BookProof/ChapterChapterSirkTrotterKato.lean.
Preamble
-- Generated from ChapterSirkTrotterKato.lean — theorem BookProof.ChapterSirkTrotterKato.trotterKato_tendsto
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 ℂ H] [CompleteSpace H]
variable (T : UnboundedSelfAdjoint H) (S : ℕ → UnboundedSelfAdjoint H)Formal statement
theorem BookProof.ChapterSirkTrotterKato.trotterKato_tendsto (hres : StrongResolventConvergence T S) (v : H) (t : ℝ) :
Tendsto (fun n => (S n).stoneU t v) atTop (𝓝 (T.stoneU t v)) := by sorrySource