屠伯埙.强p除环上方阵的酉相似理论(Ⅲ)[J].数学研究及应用,1989,9(1):1~8
强p除环上方阵的酉相似理论(Ⅲ)
Unitary Similarity Theory of Matrices Over the Strong p-Division Ring (Ⅲ)
投稿时间:1986-09-08  
DOI:10.3770/j.issn:1000-341X.1989.01.001
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屠伯埙 复旦大学数学系 
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      In this third paper, the famous Schur theorem that an n× n complex matrix is unitary similar to an upper triangular matrix is generalized to the socalled ∑-lizable matrix over the strong p-division ring Ω, where ∑ is the algebraically closed extension field of the center of Ω , and ∑?Ω.The generalized Schur's identity and other results involving the general-ized normal matrix over Ω is obtained by using this generalized Schur theorem.
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