COMPLEX SYMMETRY AND CYCLICITY OF COMPOSITION OPERATORS ON H-2(C+)

Autor(es)

Noor, S. Waleed ^[1] ; Severiano, Osmar R. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, IMECC, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. 148, n. 6, p. 2469-2476, JUN 2020.
• Citações Web of Science: 0

Resumo

In this article, we completely characterize the complex symmetry, cyclicity, and hypercyclicity of composition operators C(phi)f = f omicron phi induced by affine self-maps phi of the right half-plane C+ on the Hardy-Hilbert space H-2(C+). The interplay between complex symmetry and cyclicity plays a key role in the analysis. We also provide new proofs for the normal, self-adjoint, and unitary cases and for an adjoint formula discovered by Gallardo-Gutierrez and Montes-Rodriguez. (AU)

• Processo FAPESP: 17/09333-3 - Espaços de Hilbert de funções holomorfas com aplicações à teoria espectral e teoria analítica de números
• Beneficiário: Sahibzada Waleed Noor
• Modalidade de apoio: Auxílio à Pesquisa - Regular