Borel Measurability in Linear Algebra
Edward A. Azoff · Proceedings of the American Mathematical Society · 1974
It is shown that the usual processes of linear algebra (e.g., finding Jordan forms, eigenvalues, and eigenvectors) can be carried out in a Borel measurable fashion. These results follow easily from a variant of von Neumann’s principle of measurable choice and can be applied to the study of Type ${{\text {I}}_n}$ von Neumann algebras.