In this thesis we consider computer techniques for inverting
n X n matrices and linear Fredholm integral operators of the
second kind. We develop techniques which allow us to prove the
existence of and find approximations to inverses for the above
types of operators. In addition, we are able to...
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 concept of a regular set is introduced and it is shown that pointwise convergence is uniform on regular sets....