One theorem which states that two composition series of a given are equivalent is named for this figure and Holder, and another theorem named for this man states that any simple closed contour separates the plane into an interior and exterior domain which both have the curve as its boundary.
This man's lemma states that if a denominator of a polynomial quotient has a degree of one or more higher than the numerator, than the limit of contour integral of any upper half circle approaches zero. The expression of a linear operator as its semi-simple component and its nilpotent component is a decomposition named for this man and Claude Chevalley. One theorem which states that two composition series of a given are equivalent is named for this figure and Holder, and another theorem named for this man states that any simple closed contour separates the plane into an interior and exterior domain which both have the curve as its boundary. He names a form for operators whose characteristic polynomials split that consists of generalized eigenspaces for T-invariant subspaces. For 10 points, identify this French mathematician who gives his name to this canonical form, and who gives his name to a square matrix with eigenvalues in the diagonal and ones in the superdiagonal with zeroes everywhere else, known as his namesake "block."
This man's lemma states that if a denominator of a polynomial quotient has a degree of one or more higher than the numerator, than the limit of contour integral of any upper half circle approaches zero.
Marie Ennemond Camille {Jordan}