`BookProof.StrichartzWave.opL2_add` (T S : 𝓢(V, ℂ) →L[ℂ] 𝓢(V, ℂ)) : opL2 (T + S) = opL2 T + opL2 S

Proved

BookProof.StrichartzWave.opL2_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWaveUnboundedPotential.

BookProof.StrichartzWave.opL2_add (T S : 𝓢(V, ℂ) →L[ℂ] 𝓢(V, ℂ)) : opL2 (T + S) = opL2 T + opL2 S

Formalization note: Lean 4 identifier BookProof.StrichartzWave.opL2_add.

Preamble

-- Generated from ChapterWaveUnboundedPotential.lean — theorem BookProof.StrichartzWave.opL2_add
import Mathlib
import Definitions.Def_ChapterWaveUnboundedPotential
import Definitions.Def_ChapterStrichartzWave
open BookProof.StrichartzWave



open MeasureTheory SchwartzMap FourierTransform ComplexInnerProductSpace ENNReal

variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℝ V] [FiniteDimensional ℝ V]
  [MeasurableSpace V] [BorelSpace V]

Formal statement

theorem BookProof.StrichartzWave.opL2_add (T S : 𝓢(V, ℂ) →L[ℂ] 𝓢(V, ℂ)) : opL2 (T + S) = opL2 T + opL2 S := by sorry

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