2014/08/05 by Masoud Salehi Sarvestani, Sarvestani, Masoud Salehi, Massoud Amini +1
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1408.1057
openalex publication_date 2014/08/05 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
We describe the C*-algebra generated by an irreducible Toeplitz operator\nT\ψ, with continuous symbol \ψ on the unit circle mathbbT, and\nfinitely many composition operators on the Hardy space H2 induced by certain\nlinear-fractional self-maps of the unit disc, modulo the ideal of compact\noperators K(H2). For composition operators with automorphism symbols, we\nshow that this algebra is not isomorphic to the one generated by the shift and\ncomposition operators.\n