Interpolation problem for l1 and a uniform algebra
Takahiko Nakazi · EPrints - Department of Mathematics, Hokkaido University · 2000
Let A be a uniform algebra and M(A) the maximal ideal space of A. A sequence { an }n in M(A) is called .e1-interpolating if for every sequence (an) in f1 there exists a function f in A such that f (an ) = an for all n. In this paper, an f1-interpolating sequence is studied for an arbitrary uniform algebra. For some special uniform algebras, an f1-interpolating sequence is equivalent to an £<)()-interpolating sequence which is familiar for us. However, in general these two interpolating sequences may be different from each other.