Interpolation problem for l1 and a uniform algebra
2002 ◽
Vol 72
(1)
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pp. 1-12
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AbstractLet A be a uniform algebra and M(A) the maximal ideal space of A. A sequence {an} in M(A) is called l1-interpolating if for every sequence (αn) in l1 there exists a function f in A such that f (an) = αn for all n. In this paper, an l1-interpolating sequence is studied for an arbitrary uniform algebra. For some special uniform algebras, an l1-interpolating sequence is equivalent to a familiar l-interpolating sequence. However, in general these two interpolating sequences may be different from each other.
1999 ◽
Vol 51
(1)
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pp. 147-163
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2012 ◽
Vol 2012
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pp. 1-15
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1982 ◽
Vol 92
(3)
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pp. 437-449
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1980 ◽
Vol 36
(1)
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pp. 111-126
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