Theorems · Definition · functional analysis

WeakDual.polar

(𝕜 : Type u_1) →
  {M : Type u_2} →
    [inst : NontriviallyNormedField 𝕜] →
      [inst_1 : AddCommGroup M] → [inst_2 : TopologicalSpace M] → [inst_3 : Module 𝕜 M] → Set M → Set (WeakDual 𝕜 M)

The polar set polar 𝕜 s of s : Set E seen as a subset of the dual of E with the weak-star topology is WeakDual.polar 𝕜 s.

Defined in

Mathlib.Analysis.Normed.Module.WeakDual

Cited by

6 results in Mathlib

Foundations

Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldAddCommGroupTopologicalSpaceModule