A note on the paper “The Poulsen Simplex” of Lindenstrauss, Olsen and Sternfeld

Lusky, Wolfgang

doi:10.5802/aif.698

Lusky, Wolfgang

Annales de l'Institut Fourier, Tome 28 (1978) no. 2, pp. 233-243.

Résumé
Abstract

On montre que pour tout $f, g \in A (S)$ , où $S$ est le simplexe de Poulsen, et où $f, g$ and $1 - f$ , $1 - g$ sont des points “smooth” de $A (S)$ , il existe une rotation de $A (S)$ qui transforme $f$ en $g$ .

It is proved that for any $f, g \in A (S)$ , where $S$ is the Poulsen simplex, so that $f, g$ and $1 - f$ , $1 - g$ are smooth points, there is a rotation of $A (S)$ carrying $f$ in $g$ .

MR Zbl

DOI : 10.5802/aif.698

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     author = {Lusky, Wolfgang},
     title = {A note on the paper {{\textquotedblleft}The} {Poulsen} {Simplex{\textquotedblright}} of {Lindenstrauss,} {Olsen} and {Sternfeld}},
     journal = {Annales de l'Institut Fourier},
     pages = {233--243},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {28},
     number = {2},
     year = {1978},
     doi = {10.5802/aif.698},
     mrnumber = {80b:46019b},
     zbl = {0335.46034},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.698/}
}

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Lusky, Wolfgang. A note on the paper “The Poulsen Simplex” of Lindenstrauss, Olsen and Sternfeld. Annales de l'Institut Fourier, Tome 28 (1978) no. 2, pp. 233-243. doi : 10.5802/aif.698. http://www.numdam.org/articles/10.5802/aif.698/

Bibliographie
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