On montre que pour tout , où est le simplexe de Poulsen, et où and , sont des points “smooth” de , il existe une rotation de qui transforme en .
It is proved that for any , where is the Poulsen simplex, so that and , are smooth points, there is a rotation of carrying in .
@article{AIF_1978__28_2_233_0, author = {Lusky, Wolfgang}, title = {A note on the paper ``The Poulsen Simplex'' of Lindenstrauss, Olsen and Sternfeld}, journal = {Annales de l'Institut Fourier}, volume = {28}, year = {1978}, pages = {233-243}, doi = {10.5802/aif.698}, mrnumber = {80b:46019b}, zbl = {0335.46034}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1978__28_2_233_0} }
Lusky, Wolfgang. A note on the paper “The Poulsen Simplex” of Lindenstrauss, Olsen and Sternfeld. Annales de l'Institut Fourier, Tome 28 (1978) pp. 233-243. doi : 10.5802/aif.698. http://gdmltest.u-ga.fr/item/AIF_1978__28_2_233_0/
[1] Compact, convex sets and boundary integrals, Berlin-Heidelberg-New York, Springer 1971. | Zbl 0209.42601
,[2] Sandwich theorems and lattice semigroups, J. Functional Analysis, 16 (1974), 1-14. | MR 345889 | MR 49 #10619 | Zbl 0283.06007
,[3] Banach spaces whose duals are L1-spaces and their representing matrices, Acta Math., 126 (1971), 165-194. | MR 291771 | MR 45 #862 | Zbl 0209.43201
and ,[4] Extension of compact operators, Men. Amer. Math. Soc., 48 (1964). | MR 179580 | MR 31 #3828 | Zbl 0141.12001
,[5] The Poulsen simplex, to appear in Anal. Inst. Fourier. | Numdam | MR 500918 | Zbl 0363.46006
, and ,[6] On separable Lindenstrauss spaces, J. Functional Analysis, 26 (1977), 103-120. | MR 493274 | MR 58 #12303 | Zbl 0358.46016
,[7] The Gurarij spaces are unique, Arch. Math., 27 (1976), 627-635. | MR 433198 | MR 55 #6177 | Zbl 0338.46023
,[8] A simplex with dense extreme points, Ann. Inst. Fourier (Grenoble), 11 (1961), 83-87. | Numdam | MR 123903 | MR 23 #A1224 | Zbl 0104.08402
,[9] Some remarks on the Gurarij space, Studia Math., 41 (1972), 207-210. | MR 308746 | MR 46 #7860 | Zbl 0233.46024
,