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`BookProof.ChapterLinftyMaximalAbelian.symbol_ae_eq` (T : Lp ℂ 2 μ →L[ℂ] Lp ℂ 2 μ) : (T (oneLp μ) : α → ℂ) =ᵐ[μ] symbol T

Proved
BookProof.ChapterLinftyMaximalAbelian.symbol_ae_eq

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLinftyMaximalAbelian.

BookProof.ChapterLinftyMaximalAbelian.symbol_ae_eq (T : Lp ℂ 2 μ →L[ℂ] Lp ℂ 2 μ) : (T (oneLp μ) : α → ℂ) =ᵐ[μ] symbol T

Formalization note: Lean 4 identifier BookProof.ChapterLinftyMaximalAbelian.symbol_ae_eq.

Preamble
-- Generated from ChapterLinftyMaximalAbelian.lean — theorem BookProof.ChapterLinftyMaximalAbelian.symbol_ae_eq
import Definitions.Def_ChapterLinftyMultiplication
import Mathlib
import Definitions.Def_ChapterLinftyMaximalAbelian
open BookProof.ChapterLinftyMaximalAbelian


noncomputable section

open MeasureTheory ENNReal Complex


open BookProof.ChapterLinftyMultiplication

variable {α : Type*} [MeasurableSpace α] {μ : Measure α} [IsFiniteMeasure μ]
Formal statement
theorem BookProof.ChapterLinftyMaximalAbelian.symbol_ae_eq (T : Lp ℂ 2 μ →L[ℂ] Lp ℂ 2 μ) :
    (T (oneLp μ) : α → ℂ) =ᵐ[μ] symbol T := by sorry

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