Eigenvectors and maximal vectors in Boolean vector spaces
Ronald L. Sinzdak · Proceedings of the American Mathematical Society · 1975
In this paper it is shown that every idempotent, self-adjoint linear endomorphism in a finite-dimensional normed Boolean vector space has its norm as an eigenvalue. A completely algebraic proof is also given for the fact that every linear endomorphism in such a space possesses a maximal vector.