Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 6

Complemented invariant subspaces of structural matrix algebras

Pages
993–1000
DOI
—

Abstract

In this paper, we explore when the lattice of invariant subspaces of a structural matrix algebra can be complemented. We give several equivalent conditions for this lattice to be a Boolean algebra.

Özet

In this paper, we explore when the lattice of invariant subspaces of a structural matrix algebra can be complemented. We give several equivalent conditions for this lattice to be a Boolean algebra.

Keywords: Boolean algebra, structural matrix algebra, invariant subspace, lattice of invariant subspaces