Zulip Chat Archive

Stream: Is there code for X?

Topic: Adjoint operator for normed spaces


Vasilii Nesterov (Nov 14 2025 at 00:35):

Do we have something like

def dual {X Y 𝕜 : Type*} [NormedField 𝕜] [NormedAddCommGroup X] [NormedSpace 𝕜 X]
    [NormedAddCommGroup Y] [NormedSpace 𝕜 Y] (f : X L[𝕜] Y) :
    StrongDual 𝕜 Y L[𝕜] StrongDual 𝕜 X where
  toFun φ := φ ∘ₗ f.toLinearMap, sorry
  map_add' := sorry
  map_smul' := sorry
  cont := sorry

for an adjoint operator in a normed space?

Moritz Doll (Nov 14 2025 at 00:39):

docs#ContinuousLinearMap.precomp

Etienne Marion (Nov 14 2025 at 06:06):

https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/InnerProductSpace/Adjoint.html#ContinuousLinearMap.adjoint


Last updated: Dec 20 2025 at 21:32 UTC