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On semigroups of normal matrices
Bojana Zalar, 2003, original scientific article

Abstract: Semigroups of normal complex square matrices having a finite spectrum are studied. It is shown that every mamber ▫$A$▫ of such a semigroup satisfies the condition ▫$A^ast = A^n$▫, where ▫$n$▫ does not depend on the matrix ▫$A$▫. Further, it is shown that such a semigroup is completely reducible, and each irreducible contraction consists of a group of unitary matrices and, aventually, the zero matrix.
Keywords: mathematics, matrix theory, normal matrices, spectrum, semigroups, reducability
Published: 01.06.2012; Views: 900; Downloads: 51
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