J. Austral. Math. Soc.  72 (2002), 1-11
Interpolation problem for and a uniform algebra

 Takahiko Nakazi   Department of Mathematics   Hokkaido University   Sapporo 060-0810   Japan  nakazi@math.sci.hokudai.ac.jp

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.