A representation theorem for bounded convex sets
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- by R. R. Phelps
- Proc. Amer. Math. Soc. 11 (1960), 976-983
- DOI: https://doi.org/10.1090/S0002-9939-1960-0123172-X
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References
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675
- Mahlon M. Day, Strict convexity and smoothness of normed spaces, Trans. Amer. Math. Soc. 78 (1955), 516–528. MR 67351, DOI 10.1090/S0002-9947-1955-0067351-1
- V. L. Klee Jr., Extremal structure of convex sets. II, Math. Z. 69 (1958), 90–104. MR 92113, DOI 10.1007/BF01187394 S. Mazur, Über konvexe Mengen in linearen normierten Räumen, Studia Math. vol. 4 (1933) pp. 70-84. —, Über schwach Konvergenz in den Räumen $({L^p})$, Studia Math. vol. 4 (1933) pp. 128-133.
- R. R. Phelps, Subreflexive normed linear spaces, Arch. Math. (Basel) 8 (1957), 444–450. MR 99588, DOI 10.1007/BF01898849
- R. R. Phelps, Some subreflexive Banach spaces, Arch. Math. 10 (1959), 162–169. MR 107162, DOI 10.1007/BF01240781
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 976-983
- MSC: Primary 46.10
- DOI: https://doi.org/10.1090/S0002-9939-1960-0123172-X
- MathSciNet review: 0123172