On utilise le théorème de Hahn-Banach pour construire quelques fonctionnelles sur des espaces de fonctions continues. On caractérise la frontière de Choquet, et on donne des démonstrations simples :
a) du théorème de Bishop et de Leeuw avec des conditions de séparabilité ;
b) du théorème de Bauer.
@article{AIF_1963__13_1_111_0, author = {Edwards, David Albert}, title = {On the representation of certain functionals by measures on the {Choquet} boundary}, journal = {Annales de l'Institut Fourier}, pages = {111--121}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {13}, number = {1}, year = {1963}, doi = {10.5802/aif.133}, zbl = {0112.34302}, mrnumber = {26 #5413}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.133/} }
TY - JOUR AU - Edwards, David Albert TI - On the representation of certain functionals by measures on the Choquet boundary JO - Annales de l'Institut Fourier PY - 1963 SP - 111 EP - 121 VL - 13 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.133/ DO - 10.5802/aif.133 LA - en ID - AIF_1963__13_1_111_0 ER -
%0 Journal Article %A Edwards, David Albert %T On the representation of certain functionals by measures on the Choquet boundary %J Annales de l'Institut Fourier %D 1963 %P 111-121 %V 13 %N 1 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.133/ %R 10.5802/aif.133 %G en %F AIF_1963__13_1_111_0
Edwards, David Albert. On the representation of certain functionals by measures on the Choquet boundary. Annales de l'Institut Fourier, Volume 13 (1963) no. 1, pp. 111-121. doi : 10.5802/aif.133. https://aif.centre-mersenne.org/articles/10.5802/aif.133/
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