Theorems · Definition · measure theory

MeasureTheory.VectorMeasure.transpose

{X : Type u_2} →
  {E : Type u_4} →
    {F : Type u_5} →
      {G : Type u_6} →
        {mX : MeasurableSpace X} →
          [inst : NormedAddCommGroup E] →
            [inst_1 : NormedSpace ℝ E] →
              [inst_2 : NormedAddCommGroup F] →
                [inst_3 : NormedSpace ℝ F] →
                  [inst_4 : NormedAddCommGroup G] →
                    [inst_5 : NormedSpace ℝ G] →
                      MeasureTheory.VectorMeasure X F → (E →L[ℝ] F →L[ℝ] G) → MeasureTheory.VectorMeasure X (E →L[ℝ] G)

The composition of the vector measure with the linear pairing, giving the reference vector measure.

Defined in

Mathlib.MeasureTheory.VectorMeasure.Integral

Cited by

43 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace