Sequences in the Maximal Ideal Space of H ∞

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 1990Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 108, page 731 (issn: 0002-9939,

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Authors: Sheldon Axler; Pamela Gorkin;

doi: 10.2307/2047795 , 10.1090/s0002-9939-1990-0994770-5

Sequences in the Maximal Ideal Space of H ∞

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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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