Theorems · Definition · functional analysis

RingEquiv.lpBCF

{α : Type u_1} →
  {R : Type u_3} →
    [inst : TopologicalSpace α] →
      [DiscreteTopology α] → [inst_2 : NonUnitalNormedRing R] → ↥(lp (fun x => R) ⊤) ≃+* BoundedContinuousFunction α R

The canonical map between lp (fun _ : α ↦ R) ∞ and α →ᵇ R as a RingEquiv.

Defined in

Mathlib.Analysis.Normed.Lp.LpEquiv

Cited by

2 results in Mathlib

Foundations

Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceDiscreteTopologyNonUnitalNormedRing