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Theorems · Theorem · functional analysis

isBoundedBilinearMap_mul

∀ {𝕜 : Type u_1} {A : Type u_2} [inst : CommSemiring 𝕜] [inst_1 : SeminormedRing A] [inst_2 : Algebra 𝕜 A],
  IsBoundedBilinearMap 𝕜 fun p => p.1 * p.2

Multiplication in a normed 𝕜-algebra as a bounded bilinear map.

Defined in
Mathlib.Analysis.Normed.Operator.BoundedLinearMaps
Cited by
0 results in Mathlib
Foundations
Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringSeminormedRingAlgebra
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Algebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringSeminormedRing · cited by 446SeminormedRingIsBoundedBilinearMap · cited by 40IsBoundedBilinearMapisBoundedBilinearMap_smul · cited by 5isBoundedBilinearMap_smulisBoundedBilinearMap_mulCITED BYCITES

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