(A : H →L[ℂ] H) (hA : IsSelfAdjoint A) (x : H) (hx : x ∈ (ofBounded A hA).domain) : (ofBounded A hA).op ⟨x, hx⟩ = A x
ProvedBookProof.ChapterSirkTrotterKato.ofBounded_opsirkspectral-theorytimepiece
Lean 4 theorem BookProof.ChapterSirkTrotterKato.ofBounded_op (module BookProof.ChapterSirkTrotterKato), source chapter BookProof/ChapterChapterSirkTrotterKato.lean.
Preamble
-- Generated from ChapterSirkTrotterKatoGalerkin.lean — theorem BookProof.ChapterSirkTrotterKato.ofBounded_op
import Mathlib
import Definitions.Def_ChapterSirkTrotterKatoGalerkin
open BookProof.ChapterSirkTrotterKato
noncomputable section
open Filter Topology
open BookProof.ChapterStoneResolvent BookProof.ChapterUnitaryTransport
variable {H : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H] [CompleteSpace H]Formal statement
theorem BookProof.ChapterSirkTrotterKato.ofBounded_op (A : H →L[ℂ] H) (hA : IsSelfAdjoint A) (x : H)
(hx : x ∈ (ofBounded A hA).domain) : (ofBounded A hA).op ⟨x, hx⟩ = A x := by sorrySource