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A unified extension of some results of Thompson, Marcus and Moyls

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Abstract

LetA i ,i=1,...,k ben×n complex (real) matrices and letU n \((\mathcal{O}_n )\) be the group of alln×n unitary (orthogonal) matrices. Define

whereC m (A) denotes them th compound of the square matrixA. This note contains the complete characterization of the setC(A 1,...,A k ) (ℛ m (A 1,...,A k )), which extends some works of von Neumann, Parker, Fan, Marcus, Moyls and Thompson.

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Authors and Affiliations

  1. Department of Mathematics, University of Hong Kong, Hong Kong

    Tin-Yau Tam

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  1. Tin-Yau Tam
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The author wishes to express his thanks to Dr.Yik-Hoi Au-Yeung for his valuable advice and encouragement.

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Tam, TY. A unified extension of some results of Thompson, Marcus and Moyls. Monatshefte für Mathematik 98, 157–165 (1984). https://doi.org/10.1007/BF01637282

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  • DOI: https://doi.org/10.1007/BF01637282

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