A note on extreme elements in $A_{0}(K, E)$
HTML articles powered by AMS MathViewer
- by M. Sharir PDF
- Proc. Amer. Math. Soc. 46 (1974), 244-246 Request permission
Abstract:
We give a short and simple proof to a theorem of Fakhoury, characterizing extreme elements in the unit ball of ${A_0}(K,E)$.References
- Hicham Fakhoury, Préduaux de $L$-espaces et éléments extrémaux, C. R. Acad. Sci. Paris Sér. A-B 272 (1971), A1703–A1706 (French). MR 280981
- A. J. Lazar, Affine functions on simplexes and extreme operators, Israel J. Math. 5 (1967), 31–43. MR 211246, DOI 10.1007/BF02771594
- A. J. Lazar and J. Lindenstrauss, Banach spaces whose duals are $L_{1}$ spaces and their representing matrices, Acta Math. 126 (1971), 165–193. MR 291771, DOI 10.1007/BF02392030
- Joram Lindenstrauss, Extension of compact operators, Mem. Amer. Math. Soc. 48 (1964), 112. MR 179580
- Ernest Michael, Continuous selections. I, Ann. of Math. (2) 63 (1956), 361–382. MR 77107, DOI 10.2307/1969615
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 244-246
- MSC: Primary 46E05; Secondary 47D20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0374879-0
- MathSciNet review: 0374879