Geodesic
A Note on Projective Capacity
Canadian journal of mathematics, Tome 34 (1982) no. 6, pp. 1319-1329

Voir la notice de l'article provenant de la source Cambridge University Press

Introduction. In [1] we defined a capacity in C n . Recently Molzon, Shiffman and Sibony [8] have introduced a different capacity which is useful for certain Bezout estimates. The object of this note is to apply the methods of [1] to study the capacity of [8]. We shall obtain an equivalent definition of this capacity via Tchebycheff polynomials, along the lines of [1]. Half of this equivalence was independently obtained by Sibony [9].To establish the full equivalence of these two approaches to capacity a notion of Jensen measures in a setting more general than uniform algebras is needed. We shall consider Jensen measures for multiplicative semigroups; these are sets of functions in which only the multiplicative structure is postulated. It will also be useful to generalize the notion of polynomial hull in C n to a hull with respect to a multiplicative semigroup of polynomials. We can then adapt the approach of [1] to these semigroups. 
Alexander, H. A Note on Projective Capacity. Canadian journal of mathematics, Tome 34 (1982) no. 6, pp. 1319-1329. doi: 10.4153/CJM-1982-091-x
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