(v : H) {ε : ℝ} (hε : 0 < ε) : ∃ w : T.domain, ‖v - T.resCLM 1 (w : H)‖ < ε
ProvedBookProof.ChapterSirkTrotterKato.exists_res_domain_approxsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkTrotterKato.exists_res_domain_approx (module BookProof.ChapterSirkTrotterKato), source chapter BookProof/ChapterChapterSirkTrotterKato.lean.
Preamble
-- Generated from ChapterSirkTrotterKato.lean — theorem BookProof.ChapterSirkTrotterKato.exists_res_domain_approx
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.exists_res_domain_approx (v : H) {ε : ℝ} (hε : 0 < ε) :
∃ w : T.domain, ‖v - T.resCLM 1 (w : H)‖ < ε := by sorrySource