reApplyInnerSelf_continuous — Mathlib

English

Alternative formulation: T.reApplyInnerSelf (a • x) = (|a|^2) · T.reApplyInnerSelf x for any a ∈ 𝕜.

Русский

Альтернативная формулировка: T.reApplyInnerSelf (a • x) = (|a|^2) · T.reApplyInnerSelf x при любом a ∈ 𝕜.

LaTeX

$$T.reApplyInnerSelf (a • x) = |a|^2 · T.reApplyInnerSelf x$$

Lean4

theorem reApplyInnerSelf_continuous (T : E →L[𝕜] E) : Continuous T.reApplyInnerSelf :=
  reCLM.continuous.comp <| T.continuous.inner continuous_id

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