Literature cited
A. L. Garkavi, “Theory of best approximation in linear normed spaces,” in: Mathematical Analysis 1967 [in Russian], VINITI, Moscow (1969), pp. 75–132.
Yu. A. Shashkin, “On the convergence of nonexpanding operators,” Mathematica (Cluj),17, No. 2, 355–360 (1969).
A. P. Robertson and W. Robertson, Topological Vector Spaces, Cambridge Univ. Press, New York (1964).
R. E. Edwards, Functional Analysis [Russian translation], Mir, Moscow (1969).
A. E. Taylor, “The extension of linear functionals,” Duke Math. J.,5, 538–547 (1939).
A. L. Garkavi, “On the uniqueness of the solution of the L-problem of moments,” Izv. Akad. Nauk SSSR, Ser. Mat.,28, No. 3, 553–570 (1964).
L. A. Asimov, “Extremal structure of well-capped convex sets,” Trans. Am. Math. Soc.,138, 363–375 (1969).
R. R. Phelps, Lectures of Choquet Theorems [Russian translation], Mir, Moscow (1968).
D. E. Wulbert, “Convergence of operators and Korovkin's theorem,” J. Approx. Theory,1, 381–390 (1968).
D. E. Wulbert, “Some complemented function spaces in C(X),” Pac. J. Math.,24, 589–603 (1968).
H. Berens and G. Lorentz, “Sequences of contractions of Ii-spaces,” J. Functional Anal.,15, 155–165 (1974).
R. M. Min'kova, “On the convergence of nonexpanding operators in the space of continuous abstract functions,” Sib. Mat. Zh.,13, No. 4, 790–804 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 25, No. 3, pp. 435–443, March, 1979.
Rights and permissions
About this article
Cite this article
Min'kova, R.M. Weak Korovkin spaces. Mathematical Notes of the Academy of Sciences of the USSR 25, 229–234 (1979). https://doi.org/10.1007/BF01159517
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01159517