Gleason parts and countably generated closed ideals in 𝐻^{∞}

Izuchi, Kei; Izuchi, Yuko

doi:10.1090/S0002-9947-2013-05693-0

Gleason parts and countably generated closed ideals in $H^\infty$
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Trans. Amer. Math. Soc. 365 (2013), 5071-5083 Request permission

Abstract:

It is proved that a countably generated closed ideal in $H^\infty$ whose common zero set is contained in the union set of nontrivial Gleason parts of $H^\infty$ is generated by two Carleson-Newman Blaschke products as a closed ideal.

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