1 citations · 2 across the 4 of their papers we have counts for
4 papers
Algebras associated with Blaschke products of type {\it G}
Carroll Guillory, Kin Y. Li
Let and $Ω_{\fin}$ be the sets of all interpolating Blaschke products of type and of finite type , respectively. Let and $E_{\fin}$ be the Douglas algebras generated…
Some conditions on Douglas algebras that imply the invariance of the minimal envelope map
Carroll Guillory
We give several conditions on certain families of Douglas algebras that imply that the minimal envelope of the given algebra is the algebra itself. We also prove that the minimal e…
Bourgain algebras, minimal envelopes, minimal support sets, and some applications
Carroll Guillory
We explicitly compute certain Douglas algebras that are invariant under both the Bourgain map and the minimal envelope map. We also compute the Bourgain algebra and the minimal env…
Douglas Algebras That Have No Maximal Subalgebra and No Minimal Superalgebra
Carroll Guillory
We give several examples of Douglas Algebras that do not have any maximal subalgebra. We find a condition on these algebras that guarantees that some do not have any minimal supera…