2006/10/02 by Thomas Kriete, Kriete, Thomas, Barbara D. MacCluer +4
Mathematics · #47B33 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:47B33
paper · pdf · doi:10.48550/arxiv.math/0610077
21 pages; minor revision of earlier version
openalex publication_date 2006/10/02 · arxiv created 2008/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let ϕ be a linear-fractional self map of the open unit disk, not an automorphism, such that ϕ(ζ)=η for distinct points ζ,η in the unit circle. We consider the question of which composition operators lie in the unital C*-algebra generated by the composition operator Cϕ and the ideal of compact operators, acting on the Hardy space H2.