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On generalized Jordan normal forms of the linear operator

S. H. Dalalyan

Yerevan State University, Yerevan, Russia

Abstract: The Mal'tsev representation is defined and proved for finite dimensional linear operators. The generalization of second stage is given for the theorems about generalized Jordan normal forms of the first and second kinds.

Keywords: finite dimensional linear operator, generalized Jordan normal form of first and second kinds, characteristic polynomial, companion matrix, generalization of the second stage.

UDC: 512.558+512.643

Received: 10.11.2011

 English version: Journal of Mathematical Sciences, 2014, 198:5, 498–504