Lattice ordering on Banach spaces
HTML articles powered by AMS MathViewer
- by L. J. Heider PDF
- Proc. Amer. Math. Soc. 3 (1952), 833-838 Request permission
References
- Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876
- James A. Clarkson, A characterization of $C$-spaces, Ann. of Math. (2) 48 (1947), 845–850. MR 22314, DOI 10.2307/1969384
- Shizuo Kakutani, Concrete representation of abstract $(M)$-spaces. (A characterization of the space of continuous functions.), Ann. of Math. (2) 42 (1941), 994–1024. MR 5778, DOI 10.2307/1968778
- Shizuo Kakutani, Concrete representation of abstract $(L)$-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523–537. MR 4095, DOI 10.2307/1968915
- Mark Krein and Selim Krein, On an inner characteristic of the set of all continuous functions defined on a bicompact Hausdorff space, C. R. (Doklady) Acad. Sci. URSS (N.S.) 27 (1940), 427–430. MR 0003453
- S. B. Myers, Banach spaces of continuous functions, Ann. of Math. (2) 49 (1948), 132–140. MR 23000, DOI 10.2307/1969119
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 3 (1952), 833-838
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9939-1952-0050810-8
- MathSciNet review: 0050810