Year: 2015
Author: Lixia Feng, Liankuo Zhao
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 281–284
Abstract
Based on a new characterization of bounded and compact weighted composition operators on the Fock space obtained by Le T (Le T. Normal and isometric weighted composition operators on the Fock space. Bull. London. Math. Soc., 2014, 46: 847–856), this paper shows that a bounded weighted composition operator on the Fock space is a Fredholm operator if and only if it is an invertible operator, and if and only if it is a nonzero constant multiple of a unitary operator. The result is very different from the corresponding results on the Hardy space and the Bergman space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2015.03.11
Communications in Mathematical Research , Vol. 31 (2015), Iss. 3 : pp. 281–284
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: Fock space weighted composition operator Fredholm invertible unitary.