| 屠伯埙.强P除环上方阵的酉相似理论(Ⅱ)[J].数学研究及应用,1988,8(1):11~21 |
| 强P除环上方阵的酉相似理论(Ⅱ) |
| Unitary Similarity Theory of Matrices over the Strong p-Division Ring (II) |
| 投稿时间：1985-08-09 |
| DOI：10.3770/j.issn:1000-341X.1988.01.003 |
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| This is a continuation of the previous paper ( 1 ) . In this paper , a useful basic theorem that every selfconjugate matrix over the strong p division ring Ω is unitary similar to a tridiagorial matrix over the conter of Ω is given thus all of famous results involving selfconjugate matrices, positivedefinite selfcon jugate matrices, nonnegative selfconjugate matrix in the ordiniry com plex matrix theory are generalized to selfconjugate matrices over Ω . and Sigular decomuposition as well as polar decomposition in the ordinary complex matrix theory are also generalized to matrices over Ω . |
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