Theorems · Theorem · functional analysis

LinearIsometryEquiv.conjStarAlgEquiv_ext_iff

∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {H : Type u_5} [inst_1 : NormedAddCommGroup H] [inst_2 : InnerProductSpace 𝕜 H]
  [inst_3 : CompleteSpace H] {K : Type u_6} [inst_4 : NormedAddCommGroup K] [inst_5 : InnerProductSpace 𝕜 K]
  [inst_6 : CompleteSpace K] (f g : H ≃ₗᵢ[𝕜] K), f.conjStarAlgEquiv = g.conjStarAlgEquiv ↔ ∃ α, f = α • g

Defined in

Mathlib.Analysis.InnerProductSpace.Adjoint

Cited by

0 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceCompleteSpaceNormedAddCommGroupInnerProductSpaceCompleteSpace