An approximation theorem related to good compact sets in the sense of Martineau
Annales de l'Institut Fourier, Volume 50 (2000) no. 2, p. 677-687

This note contains an approximation theorem that implies that every compact subset of n is a good compact set in the sense of Martineau. The property in question is fundamental for the extension of analytic functionals. The approximation theorem depends on a finiteness result about certain polynomially convex hulls.

On établit un théorème d’approximation qui implique que tout sous-ensemble compact de n est un bon compact au sens de Martineau. Il s’agit d’une propriété d’approximation cruciale pour l’extension des fonctionnelles analytiques. Le théorème d’approximation est fondé sur un résultat de finitude pour les enveloppes polynomiales.

@article{AIF_2000__50_2_677_0,
     author = {Rosay, Jean-Pierre and Stout, Edgar Lee},
     title = {An approximation theorem related to good compact sets in the sense of Martineau},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {50},
     number = {2},
     year = {2000},
     pages = {677-687},
     doi = {10.5802/aif.1768},
     zbl = {0964.32010},
     mrnumber = {2001g:32026},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2000__50_2_677_0}
}
An approximation theorem related to good compact sets in the sense of Martineau. Annales de l'Institut Fourier, Volume 50 (2000) no. 2, pp. 677-687. doi : 10.5802/aif.1768. http://www.numdam.org/item/AIF_2000__50_2_677_0/

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