Interpolation by analytic functions on c0

Author:

Aron Richard M.,Globevnik Josip

Abstract

AbstractLet B be the open unit ball of c0. We give a geometric characterization of the sequences {xn} ⊂ bB with the property that, given any bounded sequence {αn} ⊂ ℂ, there is a continuous function , analytic in B, such that f(xn) = αn for all n and such that supiB|f(x)| = supn∈Nn|.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. Boundaries for polydisc algebras in infinite dimensions

2. On interpolation by analytic maps in infinite dimensions

3. A theorem of Dunford–Pettis type for polynomial operators;Pelczynski;Bull. Acad. Pol. Sci.,1963

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. DIFFERENTIAL IDENTITIES;T AM MATH SOC;1995

2. Differential identities;Transactions of the American Mathematical Society;1995

3. Quantitative Estimates for Polynomials in One or Several Variables;Mathematics Magazine;1994-10

4. Interpolation by Weakly Differentiable Functions on Banach Spaces;Journal of Mathematical Analysis and Applications;1994-03

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