On extreme averaging operators
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- by S. P. Lloyd
- Proc. Amer. Math. Soc. 14 (1963), 305-310
- DOI: https://doi.org/10.1090/S0002-9939-1963-0159234-3
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References
- Garrett Birkhoff, Moyennes des fonctions bornées, Algèbre et Théorie des Nombres., Colloques Internationaux du Centre National de la Recherche Scientifique, no. 24, Centre National de la Recherche Scientifique, Paris, 1950, pp. 143–153 (French). MR 0044044
- J. L. Kelley, Averaging operators on $C_{\infty }(X)$, Illinois J. Math. 2 (1958), 214–223. MR 103409
- Fred B. Wright, Generalized means, Trans. Amer. Math. Soc. 98 (1961), 187–203. MR 154107, DOI 10.1090/S0002-9947-1961-0154107-7
- Chandler Davis, Various averaging operations onto subalgebras, Illinois J. Math. 3 (1959), 538–553. MR 112042 N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958. E. Michael, A linear transformation between function spaces, Notices Amer. Math. Soc. 8 (1961), 149.
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 305-310
- MSC: Primary 46.55; Secondary 47.25
- DOI: https://doi.org/10.1090/S0002-9939-1963-0159234-3
- MathSciNet review: 0159234