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Proceedings of the American Mathematical Society

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Sequences in the maximal ideal space of $ H\sp \infty$


Authors: Sheldon Axler and Pamela Gorkin
Journal: Proc. Amer. Math. Soc. 108 (1990), 731-740
MSC: Primary 46J15; Secondary 30H05, 32E25
DOI: https://doi.org/10.1090/S0002-9939-1990-0994770-5
MathSciNet review: 994770
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Abstract: This paper studies the behavior of sequences in the maximal ideal space of the algebra of bounded analytic functions on an arbitrary domain. The main result states that for any such sequence, either the sequence has an interpolating subsequence or infinitely many elements of the sequence lie in the same Gleason part.


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DOI: https://doi.org/10.1090/S0002-9939-1990-0994770-5
Keywords: Maximal ideal space, Gleason parts, interpolating sequences
Article copyright: © Copyright 1990 American Mathematical Society