Theorems · Definition · functional analysis

WeakDual.characterSpace

(𝕜 : Type u_1) →
  (A : Type u_2) →
    [inst : CommSemiring 𝕜] →
      [inst_1 : TopologicalSpace 𝕜] →
        [inst_2 : ContinuousAdd 𝕜] →
          [inst_3 : ContinuousConstSMul 𝕜 𝕜] →
            [inst_4 : NonUnitalNonAssocSemiring A] →
              [inst_5 : TopologicalSpace A] → [inst_6 : Module 𝕜 A] → Set (WeakDual 𝕜 A)

The character space of a topological algebra is the subset of elements of the weak dual that are also algebra homomorphisms.

Defined in

Mathlib.Topology.Algebra.Module.Spaces.CharacterSpace

Cited by

39 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringTopologicalSpaceContinuousAddContinuousConstSMulNonUnitalNonAssocSemiringTopologicalSpaceModule