Theorems · Theorem · operator theory

LinearPMap.isSelfAdjoint_def

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  [inst_3 : CompleteSpace E] {A : E →ₗ.[𝕜] E}, IsSelfAdjoint A ↔ A.adjoint = A

Defined in

Mathlib.Analysis.InnerProductSpace.LinearPMap

Cited by

2 results in Mathlib

Foundations

Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceCompleteSpace