Normal matrices over Hermitian discrete valuation rings

DOI10.1016/0024-3795(91)90111-9zbMath0733.15008OpenAlexW1971924145MaRDI QIDQ810112

William A. Adkins

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90111-9

zbMATH Keywords

formal power seriesnormal matricesspectral theoremcomplex convergent power seriesHermitian discrete valuation rings

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Power series rings (13J05)

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A spectral theorem for matrices over fields of power series ⋮ The fan-pall imbedding theorem over formally real fields ⋮ On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of \(\ast \)-palindromic matrix polynomials ⋮ Matrices over differential fields which commute with their derivative ⋮ Perturbation theory for normal operators ⋮ Twisted Blanchfield pairings and twisted signatures. I: algebraic background

Cites Work

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• Lectures on formally real fields
• Rellich's perturbation theorem on Hermitian matrices of holomorphic functions
• Simultaneous diagonalization of matrices parametrized by a projective algebraic curve
• Hermitian function matrices which commute with their derivative
• On matrices with elements in a principal ideal ring

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