COMPLEX SYMMETRY AND CYCLICITY OF COMPOSITION OPER... - BV FAPESP
Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Full text
Author(s):
Noor, S. Waleed [1] ; Severiano, Osmar R. [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, IMECC, Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 148, n. 6, p. 2469-2476, JUN 2020.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 17/09333-3 - Hilbert spaces of holomorphic functions with applications to spectral theory and analytic number theory
Grantee:Sahibzada Waleed Noor
Support Opportunities: Regular Research Grants