Theorems · Definition · functional analysis

LinearIsometry.toLinearMap

{R : Type u_1} →
  {R₂ : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : Semiring R₂] →
        {σ₁₂ : R →+* R₂} →
          {E : Type u_11} →
            {E₂ : Type u_12} →
              [inst_2 : SeminormedAddCommGroup E] →
                [inst_3 : SeminormedAddCommGroup E₂] →
                  [inst_4 : Module R E] → [inst_5 : Module R₂ E₂] → (E →ₛₗᵢ[σ₁₂] E₂) → E →ₛₗ[σ₁₂] E₂

Defined in

Mathlib.Analysis.Normed.Operator.LinearIsometry

Cited by

55 results in Mathlib

Foundations

Depth 12 from the axioms · uses no axioms

Assumes

SemiringSemiringSeminormedAddCommGroupSeminormedAddCommGroupModuleModule