Theorems · Theorem · operator theory

ContinuousLinearMap.isPositive_toLinearMap_iff

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  (T : E →L[𝕜] E), (↑T).IsPositive ↔ T.IsPositive

Defined in

Mathlib.Analysis.InnerProductSpace.Positive

Cited by

7 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpace