nnnorm_compContinuousLinearMap_le

English

The radius of the sum satisfies radius(p+q) ≥ min(radius(p), radius(q)).

Русский

Радиус суммы удовлетворяет radius(p+q) ≥ min(radius(p), radius(q)).

LaTeX

$$$\\min(p.radius, q.radius) \\le (p+q).radius.$$$

Lean4

theorem nnnorm_compContinuousLinearMap_le (p : FormalMultilinearSeries 𝕜 F G) (u : E →L[𝕜] F) (n : ℕ) :
    ‖p.compContinuousLinearMap u n‖₊ ≤ ‖p n‖₊ * ‖u‖₊ ^ n :=
  norm_compContinuousLinearMap_le p u n

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