Theorems · Theorem · operator theory

ContinuousLinearMap.rayleigh_smul

∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  (T : E →L[𝕜] E) (x : E) {c : 𝕜}, c ≠ 0 → T.rayleighQuotient (c • x) = T.rayleighQuotient x

Defined in

Mathlib.Analysis.InnerProductSpace.Rayleigh

Cited by

1 results in Mathlib

Foundations

Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpace