Unitary Similarity Theory of Matrices Over the Strong p-Division Ring (Ⅲ)
Received:September 08, 1986  
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Tu Boxun Fudan University
China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1989.01.001
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