A geometric construction of the $M$-space conjugate to an $L$-space.
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- by Chris C. Braunschweiger
- Proc. Amer. Math. Soc. 10 (1959), 77-82
- DOI: https://doi.org/10.1090/S0002-9939-1959-0104137-2
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References
- Stefan Banach, Theorie des operations linรฉaires, Warsaw, 1932.
- Garrett Birkhoff, Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. MR 0227053
- Chris C. Braunschweiger, A geometric construction of $L$-spaces, Duke Math. J. 23 (1956), 271โ280. MR 77085
- James A. Clarkson, A characterization of $C$-spaces, Ann. of Math. (2) 48 (1947), 845โ850. MR 22314, DOI 10.2307/1969384 W. F. Donoghue, J. L. Kelley, et al., Linear topological spaces (Unpublished hectographed notes) University of Kansas, 1953.
- R. E. Fullerton, A characterization of $L$ spaces, Fund. Math. 38 (1951), 127โ136. MR 48706, DOI 10.4064/fm-38-1-127-136
- Shizuo Kakutani, Concrete representation of abstract $(L)$-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523โ537. MR 4095, DOI 10.2307/1968915
- Shizuo Kakutani, Concrete representation of abstract $(M)$-spaces. (A characterization of the space of continuous functions.), Ann. of Math. (2) 42 (1941), 994โ1024. MR 5778, DOI 10.2307/1968778
Bibliographic Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 77-82
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0104137-2
- MathSciNet review: 0104137