Borel measurability in linear algebra

Azoff, Edward A.

doi:10.1090/S0002-9939-1974-0327799-1

Borel measurability in linear algebra
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by Edward A. Azoff PDF

Proc. Amer. Math. Soc. 42 (1974), 346-350 Request permission

Abstract:

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.

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