Mustafa AKKURT, Emira AKKURT, George Phillip BARKER

Complemented invariant subspaces of structural matrix algebras

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

Complemented invariant subspaces of structural matrix algebras

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,

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