Theorems · Definition · functional analysis

ContinuousLinearMapWOT.toCLM

{𝕜₁ : Type u_1} →
  {𝕜₂ : Type u_2} →
    [inst : Semiring 𝕜₁] →
      [inst_1 : Semiring 𝕜₂] →
        {σ : 𝕜₁ →+* 𝕜₂} →
          {E : Type u_3} →
            {F : Type u_4} →
              [inst_2 : AddCommGroup E] →
                [inst_3 : TopologicalSpace E] →
                  [inst_4 : Module 𝕜₁ E] →
                    [inst_5 : AddCommGroup F] →
                      [inst_6 : TopologicalSpace F] → [inst_7 : Module 𝕜₂ F] → (E →SWOT[σ] F) → E →SL[σ] F

The continuous linear map underlying an element of E →SWOT[σ] F.

Defined in

Mathlib.Analysis.LocallyConvex.WeakOperatorTopology

Cited by

36 results in Mathlib

Foundations

Depth 12 from the axioms · uses no axioms

Assumes

SemiringSemiringAddCommGroupTopologicalSpaceModuleAddCommGroupTopologicalSpaceModule