The extension and convergence of positive operators is investigated by means of a monotone approximation technique. Some generalizations and extensions of Korovkin's monotone operator theorem on C[0, 1] are given. The co ...
In 1964, Zarantonello published a constructive method for
the solution of certain nonlinear problems in a Hilbert space. We
extend the method in various directions including a generalization
to a Banach space setting. ...
In this thesis we examine the approximation theory of the
eigenvalue problem of bounded linear operators defined on a Banach
space, and its applications to integral and differential equations.
Special cases include th ...
