A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebras. (15th May 2001)

• Record Type: Journal Article
• Authors: Guillory, Carroll
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 26:Number 7(2001)
• Page Start: 445
• Page End: 448
• Publication Date: 2001-05-15
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171201006342
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : We characterize the interpolating Blaschke products of finite type in terms of their support sets. We also give a sufficient condition on the restricted Douglas algebra of a support set that is invariant under the Bourgain map, and its minimal envelope is singly generated.