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<metadata xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:dc="http://purl.org/dc/elements/1.1/"><dc:title>On semigroups of normal matrices</dc:title><dc:creator>Zalar,	Bojana	(Avtor)
	</dc:creator><dc:subject>mathematics</dc:subject><dc:subject>matrix theory</dc:subject><dc:subject>normal matrices</dc:subject><dc:subject>spectrum</dc:subject><dc:subject>semigroups</dc:subject><dc:subject>reducability</dc:subject><dc:description>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.</dc:description><dc:date>2003</dc:date><dc:date>2012-06-01 11:57:46</dc:date><dc:type>Neznano</dc:type><dc:identifier>27669</dc:identifier><dc:identifier>UDK: 512.643</dc:identifier><dc:identifier>COBISS_ID: 7944470</dc:identifier><dc:identifier>ISSN pri članku: 0024-3795</dc:identifier><dc:identifier>NUK URN: URN:SI:UM:DK:R5BPSTRQ</dc:identifier><dc:language>sl</dc:language></metadata>
