Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T02:13:33.727Z Has data issue: false hasContentIssue false
  • English
  • Français

Interpolation by analytic functions on c0

Published online by Cambridge University Press:  24 October 2008

Richard M. Aron  and
Josip Globevnik
Richard M. Aron
Affiliation:
Department of Mathematics, Kent State University, Kent, Ohio 44242, U.S.A.
Josip Globevnik
Affiliation:
Institute of Mathematics, University of Ljubljana, 19 Jadranska, 61000 Ljubljana, Yugoslavia
Get access Rights & Permissions [Opens in a new window]

Abstract

Let 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 supi∈B|f(x)| = supn∈N|αn|.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 2 , September 1988 , pp. 295 - 302
Copyright
Copyright © Cambridge Philosophical Society 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Globevnik, J.. On interpolation by analytic maps in infinite dimensions. Math. Proc. Cambridge Philos. Soc. 83 (1978), 243–252.Google Scholar
[2]Globevnik, J.. Boundaries for polydisc algebras in infinite dimensions. Math. Proc. Cambridge Philos. Soc. 85 (1979), 291–303.Google Scholar
[3]Pelczynski, A.. A theorem of Dunford–Pettis type for polynomial operators. Bull. Acad. Pol. Sci. 11 (1963), 379–386.Google Scholar
[4]Stout, E. L.. The Theory of Uniform Algebras (Bogden and Quigley, 1971).Google Scholar