Journal of Operator Theory

Volume 83, Issue 1, Winter 2020 pp. 3-26.

Spectra of weighted composition operators induced by automorphisms

Authors: Yong-Xin Gao (1), Ze-Hua Zhou (2)
Author institution:(1) School of Mathematical Sciences, Nankai University, Tianjin 300071, P.R. China \textit{and} School of Mathematics, Tianjin University,\break Tianjin 300354, P.R. China
(2) School of Mathematics, Tianjin Univ., Tianjin 300354, P.R. China

Summary: In this paper we will give some results about the spectra of non-invertible weighted composition operators induced by automorphisms on several Hilbert spaces, such as Hardy space $H^2(\mathbb{D})$ and weighted Bergman spaces $A_\alpha^2(\mathbb{D})$.

DOI: http://dx.doi.org/10.7900/jot.2017aug15.2245
Keywords: weighted composition operator, spectrum, automorphism

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