(n : ℕ) (y : H) : ‖resDiff T S n y‖ ≤ 2 * ‖y‖
ProvedBookProof.ChapterSirkTrotterKato.norm_resDiff_apply_lesirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkTrotterKato.norm_resDiff_apply_le (module BookProof.ChapterSirkTrotterKato), source chapter BookProof/ChapterChapterSirkTrotterKato.lean.
Preamble
-- Generated from ChapterSirkTrotterKato.lean — theorem BookProof.ChapterSirkTrotterKato.norm_resDiff_apply_le
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.norm_resDiff_apply_le (n : ℕ) (y : H) : ‖resDiff T S n y‖ ≤ 2 * ‖y‖ := by sorry
Source