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Self-adjoint operators and formally real fields

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Publication:1227772
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DOI10.1215/S0012-7094-76-04321-0zbMath0331.12102OpenAlexW2029195546MaRDI QIDQ1227772

William C. Waterhouse

Publication date: 1976

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-76-04321-0


Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Quadratic and bilinear forms, inner products (15A63) Real and complex fields (12D99)


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A Probable Hasse Principle for Pencils of Quadrics, Orthogonal similarity and pairs of quadratic forms, \(K\)-loops from classical groups over ordered fields, The fan-pall imbedding theorem over formally real fields, Inertia and eigenvalue relations between symmetrized and symmetrizing matrices for the real and the general field case, The linear preservers of real diagonalizable matrices, A recurring theorem about pairs of quadratic forms and extensions: A survey



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