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

Complemented invariant subspaces of structural matrix algebras

Mustafa AKKURT, Emira AKKURT, George Phillip BARKER

Sayfa
993–1000
DOI
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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.

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.

Anahtar kelimeler: Boolean algebra, structural matrix algebra, invariant subspace, lattice of invariant subspaces