References
Anselone, P. M.: Uniform approximation theory for integral equations with discontinuous kernels. SIAM J. Numer. Anal.4, 245–253 (1967).
—: Collectively compact operator approximations. Englewood Cliffs, New Jersey: Prentice-Hall (to appear 1971).
Anselone, P. M.: Abstract Riemann integrals, monotone approximations and generalization of Korovkin's theorem. Proc. Coll. on Num. Methods in Approx. Theory. Oberwolfach, Germany, June 1969 (to appear).
Baker, J. W.: Continuity in ordered spaces. Math. Z.104, 231–246 (1968).
Bauer, H.: Über die Beziehungen einer abstrakten Theorie des Riemann-Integrals zur Theorie Radonscher Maße. Math. Z.65, 448–482 (1956).
Dunford, N., Schwartz, J. T.: Linear operators. Part I. New York: Interscience 1957.
James, R. L.: Convergence of positive operators. Ph. D. thesis, Oregon State University, Corvallis, Oregon, 1970.
James, R. L.: The extension and convergence of positive operators. (To appear.)
Peressini, A. L.: Ordered topological vector spaces. New York: Harper and Row 1967.
Treves, F.: Topological vector spaces, distributions and kernels. New York: Academic Press 1967.
Yosida, K.: Functional analysis. New York: Academic Press 1965.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
James, R.L. Uniform convergence of positive operators. Math Z 120, 124–142 (1971). https://doi.org/10.1007/BF01110151
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01110151