Characterization of polynomials in algebraic operators with constant coefficients
Nguyen Van Mtu · Demonstratio Mathematica · 1983
In this paper a characterization of polynomials in algebraic operators with constant coefficients is given.We solve two types of operator equations which will be called linear algebraic equations, namely equations of the form P(X) = Y and P(A)X -XQ(B) = Y, where P(t) and Q(t) are polynomials; A and B are algebraic elements.