Every infinite triangular matrix is similar to a generalized infinite Jordan matrix

Abstract

In this paper, we introduce the notion of a generalized infinite Jordan matrix which is an infinite analogon of a finite Jordan matrix. The main result states that for every upper triangular infinite matrix a, there exists a column finite matrix x such that is a generalized infinite Jordan matrix.

Keywords:

• Jordan canonical form
• infinite matrix
• infinite dimensional vector space

AMS subject classification:

• 15A21

View correction statement:

Corrigendum to ‘Every infinite triangular matrix is similar to a generalized infinite Jordan matrix’ (Linear Multilinear Algebra 65 (2017), 1362–1373)

Notes

No potential conflict of interest was reported by the author.