A topological approach to extreme points in function spaces
Author:
John Cantwell
Journal:
Proc. Amer. Math. Soc. 19 (1968), 821-825
MSC:
Primary 46.25; Secondary 52.00
DOI:
https://doi.org/10.1090/S0002-9939-1968-0229004-0
MathSciNet review:
0229004
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References | Similar Articles | Additional Information
- [1] C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200–242. MR 20771, https://doi.org/10.2307/2371848
- [2] Dwight B. Goodner, The closed convex hull of certain extreme points, Proc. Amer. Math. Soc. 15 (1964), 256–258. MR 163152, https://doi.org/10.1090/S0002-9939-1964-0163152-5
- [3] Erik Hemmingsen, Some theorems in dimension theory for normal Hausdorff spaces, Duke Math. J. 13 (1946), 495–504. MR 18819
- [4] J. Nagata, Modern dimension theory, Interscience, New York, 1965.
- [5] N. T. Peck, Representation of functions in 𝐶(𝑋) by means of extreme points, Proc. Amer. Math. Soc. 18 (1967), 133–135. MR 208357, https://doi.org/10.1090/S0002-9939-1967-0208357-2
- [6] R. R. Phelps, Extreme points in function algebras, Duke Math. J. 32 (1965), 267–277. MR 179644
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1968-0229004-0
Article copyright:
© Copyright 1968
American Mathematical Society