Complex symmetry and cyclicity of composition operators on\n H²(\ℂ₊)

2019/08/22 by S. Waleed Noor, Noor, S. Waleed, Osmar R. Severiano +1
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1908.08592

openalex publication_date 2019/08/22 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

In this article, we completely characterize the complex symmetry, cyclicity\nand hypercyclicity of composition operators C_\φ f=f\∘\φ induced by\naffine self-maps \φ of the right half-plane \ℂ₊ on the\nHardy-Hilbert space H²(\ℂ₊). We also provide new proofs for the\nnormal, self-adjoint and unitary cases and for an adjoint formula discovered by\nGallardo-Guti 'errez and Montes-Rodr 'igues.\n

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