ОБ ОБОБЩЕНИИ ТЕОРЕМЫ М. А. КРАСНОСЕЛЬСКОГО НА НЕСАМОСОПРЯЖЕННЫЕ ОПЕРАТОРЫ

The article deals with linear operators A with a spectral radius equal  1 in Hilbert and Banach spaces, for which the successive approximations x n+1 = Ax n + f with an arbitrarily initial approximation x 0 converge to one of the solutions of the equation x = Ax + f (under the condition that these solutions exist).