On the Jordan-Chevalley-Dunford decomposition of operators in type $I$ Murray-von Neumann algebras

Soumyashant Nayak, Renu Shekhawat

We show that, for $n\ge 3$, the mapping on $M_n(\mathbb{C})$ which sends a matrix to its diagonalizable part in its Jordan-Chevalley decomposition, is {\bf norm-unbounded} on any…