A Korovkin type theorem on weak convergence
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- by A. Meir PDF
- Proc. Amer. Math. Soc. 59 (1976), 72-74 Request permission
Abstract:
A weak convergence theorem is proved for a sequence of positive contractions on ${L_1}(0,1)$.References
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
- Daniel E. Wulbert, Convergence of operators and Korovkin’s theorem, J. Approximation Theory 1 (1968), 381–390. MR 235370, DOI 10.1016/0021-9045(68)90016-6
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 72-74
- MSC: Primary 41A35
- DOI: https://doi.org/10.1090/S0002-9939-1976-0410193-4
- MathSciNet review: 0410193