Theorems · Definition · functional analysis

CStarModule.innerSL

{A : Type u_1} →
  {E : Type u_2} →
    [inst : NonUnitalCStarAlgebra A] →
      [inst_1 : PartialOrder A] →
        [StarOrderedRing A] →
          [inst_3 : SMul A E] →
            [inst_4 : NormedAddCommGroup E] → [inst_5 : NormedSpace ℂ E] → [CStarModule A E] → E →L⋆[ℂ] E →L[ℂ] A

The function ⟨x, y⟩ ↦ ⟪x, y⟫ bundled as a continuous sesquilinear map.

Defined in

Mathlib.Analysis.CStarAlgebra.Module.Defs

Cited by

3 results in Mathlib

Foundations

Depth 323 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalCStarAlgebraPartialOrderStarOrderedRingSMulNormedAddCommGroupNormedSpaceCStarModule