Abstract
We present an example, simplifying an earlier one due to R. C. James, of a l-separated tree with empty wedge intersections such that its closed convex hull has continuum many extreme points.
Keywords
- Banach Space
- Probability Measure
- Extreme Point
- Tree Index
- Springer Lecture Note
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References
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A. Ho: The Krein-Milman property and complemented bushes in Banach space, Pac. J. of Math. 98 (1982), p. 347–363.
R.C. James: Extreme points and an unusual Banach space, appeared in Banach space theory and its applications, Springer lecture notes 991 (1983), p. 111–123.
J. Lindenstrauss, L. Tzafriri: Classical Banach spaces, vol. 1, Springer 1977.
W. Schachermayer: For a Banach space isomorphic to its square the Radon-Nikodym property and the Krein-Milman property are equivalent, to appear in Studia Math. (1985).
C. Stegall: The Radon-Nikodym property in Banach spaces, Part I, appeared in "Vorlesungen uas dem FB. Mathematik der Universität Essen, Heft 10, Essen (1983).
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© 1985 Springer-Verlag
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Schachermayer, W. (1985). Some remarks concerning the krein-milman and the radon-nikodym property of Banach spaces. In: Kalton, N.J., Saab, E. (eds) Banach Spaces. Lecture Notes in Mathematics, vol 1166. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074704
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DOI: https://doi.org/10.1007/BFb0074704
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16051-9
Online ISBN: 978-3-540-39736-6
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