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(A : H →L[ℂ] H) (hA : IsSelfAdjoint A) (x : H) (hx : x ∈ (ofBounded A hA).domain) : (ofBounded A hA).op ⟨x, hx⟩ = A x

Proved
BookProof.ChapterSirkTrotterKato.ofBounded_op

by leonardopedro · Sep 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

sirkspectral-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 sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterChapterSirkTrotterKato.lean

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