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- W1984357760 abstract "Let B be a Douglas algebra and let B be the algebra on the disk generated by the harmonic extensions of the functions in B . In this paper we show that B is generated by H ∞ ( D ) and the complex conjugates of the harmonic extensions of the interpolating Blaschke products invertible in B . Every element S in the Toeplitz algebra T B generated by Toeplitz operators (on the Bergman space) with symbols in B has a canonical decomposition S = T S ˜ + R for some R in the commutator ideal C T B ; and S is in C T B iff the Berezin transform S ˜ vanishes identically on the union of the maximal ideal space of the Douglas algebra B and the set M 1 of trivial Gleason parts." @default.
- W1984357760 created "2016-06-24" @default.
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- W1984357760 date "2007-02-01" @default.
- W1984357760 modified "2023-09-26" @default.
- W1984357760 title "Toeplitz algebras on the disk" @default.
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- W1984357760 doi "https://doi.org/10.1016/j.jfa.2006.09.014" @default.
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