The homogeneous transfinite diameter of a compact subset of $ℂ^N$

Mieczysław Jędrzejowski

The homogeneous transfinite diameter of a compact subset of

ℂ^{N}

Mieczysław Jędrzejowski

Annales Polonici Mathematici, Tome 55 (1991), p. 191-205 / Harvested from The Polish Digital Mathematics Library

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Résumé

Let K be a compact subset of $ℂ^{N}$ . A sequence of nonnegative numbers defined by means of extremal points of K with respect to homogeneous polynomials is proved to be convergent. Its limit is called the homogeneous transfinite diameter of K. A few properties of this diameter are given and its value for some compact subsets of $ℂ^{N}$ is computed.

Publié le : 1991-01-01

Zbl 0748.31008

EUDML-ID : urn:eudml:doc:262363

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Mieczysław Jędrzejowski. The homogeneous transfinite diameter of a compact subset of $ℂ^N$
            . Annales Polonici Mathematici, Tome 55 (1991) pp. 191-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv55z1p191bwm/

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