| Unitary Similarity Theory of Matrices over the Strong p-Division Ring (II) |
| Received:August 09, 1985 |
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| Abstract: |
| 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 . |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1988.01.003 |
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