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The fan-pall imbedding theorem over formally real fields |
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| Authors: | William A Adkins |
| Institution: | a Department of Mathematics, Louisiana State University, Baton Rouge, LA |
| Abstract: | The converse of the Cauchy interlacing theorem, relating eigenvalues of a symmetric real matrix and eigenvalues of a principal submatrix, first proved by Fan and Pall, is extended to the case of symmetric matrices with entries in an arbitrary formally real field. |
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