Theorems · Definition · functional analysis

ContinuousMultilinearMap.mkPiAlgebraFin

(R : Type u) →
  (n : ℕ) →
    (A : Type u_1) →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] → [inst_3 : TopologicalSpace A] → [ContinuousMul A] → A [×n]→L[R] A

The continuous multilinear map on A^n, where A is a normed algebra over 𝕜, associating to m the product of all the m i. See also: ContinuousMultilinearMap.mkPiAlgebra.

Defined in

Mathlib.Topology.Algebra.Module.Multilinear.Basic

Cited by

29 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraTopologicalSpaceContinuousMul