Expressing infinite matrices as sums of idempotents

  • R. Słowik

Abstract

Let $\scr M_{Cf} (F)$ be the set of all column-finite $N \times N$ matrices over a field $F$. The following problem is studied: what elements of $\scr M_{Cf} (F)$ can be expressed as a sum of idempotents? The result states that every element of $\scr M_{Cf} (F)$ can be represented as the sum of 14 idempotents.
Published
25.08.2017
How to Cite
SłowikR. “Expressing Infinite Matrices As Sums of Idempotents”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, no. 8, Aug. 2017, pp. 1145-7, http://umj.imath.kiev.ua/index.php/umj/article/view/1765.
Section
Short communications