J. Austral. Math. Soc.
72 (2002), 111

Interpolation problem for and a uniform algebra


Abstract

Let A be a uniform algebra and M(A)
the maximal ideal space of A. A sequence
in M(A) is called
interpolating if for every sequence
in
there exists a function f in A
such that
for all n. In this paper, an
interpolating sequence is studied for an
arbitrary uniform algebra. For some special
uniform algebras, an
interpolating sequence is equivalent to a familiar
interpolating sequence. However, in general
these two interpolating sequences may be different from each other.

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