A new class of Gleason parts homeomorphic to the unit disk


We show that the Gleason part of every cluster point of an interpolating sequence of type 1 in the set of nontrivial points in the spectrum of H^∈fty is homeomorphic to the unit disk.

DOI Code: 10.1285/i15900932v25n2p105

Keywords: Bounded analytic functions; Interpolating sequences in the spectrum of $H$; Homeomorphic Gleason parts

Classification: 46J15

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