algebra — Mathlib

English

There is a natural 𝕜-algebra structure on the PreLp space given by the canonical product algebra construction, i.e., the algebra structure on the product space is inherited from the components.

Русский

На пространстве PreLp существует естественная 𝕜-алгебраическая структура, полученная покоординатно из компонент.

LaTeX

$$$\text{Algebra}_{\mathbb{K}}(\text{PreLp } B)\;\text{arises from Pi.algebraOfNormedAlgebra.}$$$

Lean4

instance _root_.PreLp.algebra : Algebra 𝕜 (PreLp B) :=
  Pi.algebraOfNormedAlgebra

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