Borel measurability in linear algebra
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- by Edward A. Azoff
- Proc. Amer. Math. Soc. 42 (1974), 346-350
- DOI: https://doi.org/10.1090/S0002-9939-1974-0327799-1
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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.References
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Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 346-350
- MSC: Primary 15A60; Secondary 47C05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0327799-1
- MathSciNet review: 0327799