A spectral theorem for matrices over fields of power series
Hans A. Keller; Herminia Ochsenius A.
Annales mathématiques Blaise Pascal (1995)
- Volume: 2, Issue: 1, page 169-179
- ISSN: 1259-1734
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topKeller, Hans A., and Ochsenius A., Herminia. "A spectral theorem for matrices over fields of power series." Annales mathématiques Blaise Pascal 2.1 (1995): 169-179. <http://eudml.org/doc/79112>.
@article{Keller1995,
author = {Keller, Hans A., Ochsenius A., Herminia},
journal = {Annales mathématiques Blaise Pascal},
keywords = {non-archimedean valued fields; symmetric matrices; orthogonal diagonalization; formal power series; eigenvalues},
language = {eng},
number = {1},
pages = {169-179},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {A spectral theorem for matrices over fields of power series},
url = {http://eudml.org/doc/79112},
volume = {2},
year = {1995},
}
TY - JOUR
AU - Keller, Hans A.
AU - Ochsenius A., Herminia
TI - A spectral theorem for matrices over fields of power series
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 1
SP - 169
EP - 179
LA - eng
KW - non-archimedean valued fields; symmetric matrices; orthogonal diagonalization; formal power series; eigenvalues
UR - http://eudml.org/doc/79112
ER -
References
top- [1] W.A. Adkins, Normal Matrices over Hermitian Discrete Valuation Rings, Linear Algebra and its Applications 157 (1991), 165-174. Zbl0733.15008MR1123864
- [2] B. Diarra, Remarque sur les matrices orthogonales (resp. symétriques) à coefficients p-adiques, Ann. Sci.Univ. Blaise Pascal, Ser. Math., Fasc. 26 (1990), 31-50. Zbl0731.15019MR1112636
- [3] H. Gross and U.M. Künzi, On a Class of Orthomodular Quadratic Spaces, L'Enseignement Mathématique, 31 (1985), 187-212. Zbl0603.46030MR819350
- [4] H. Keller and H. Ochsenius, Algebras of Bounded Operators on Non-classical Orthomodular Spaces, Int. Journal of Theor. Physics, Vol. 33, No. 1 (1994), 1-11. Zbl0809.46094MR1263295
- [5] P. Ribenboim, Théorie des Valuations, Les Presses de l'Université de Montreal, 1964. Zbl0139.26201MR249425
- [6] O.F.G. Schilling, The Theory of Valuations, Amer. Math. Soc. Surveys, Providence, 1950. Zbl0037.30702MR43776
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