Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z

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Title: Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z
Authors: Jiménez Vargas, Antonio | Sepulcre, Juan Matias
Research Group/s: Curvas Alpha-Densas. Análisis y Geometría Local
Center, Department or Service: Universidad de Alicante. Departamento de Análisis Matemático
Keywords: Weighted composition operator | Beurling algebra | Compact operator | Weakly compact operator
Knowledge Area: Análisis Matemático
Issue Date: 1-Mar-2013
Publisher: Elsevier
Citation: Journal of Mathematical Analysis and Applications. 2013, 399(1): 394-402. doi:10.1016/j.jmaa.2012.10.024
Abstract: Let vv be a weight sequence on ZZ and let ψ,φψ,φ be complex-valued functions on ZZ such that φ(Z)⊂Zφ(Z)⊂Z. In this paper we study the boundedness, compactness and weak compactness of weighted composition operators Cψ,φCψ,φ on predual Banach spaces c0(Z,1/v)c0(Z,1/v) and dual Banach spaces ℓ∞(Z,1/v)ℓ∞(Z,1/v) of Beurling algebras ℓ1(Z,v)ℓ1(Z,v).
Sponsor: The first author was partially supported by Junta de Andalucía under grant FQM-3737 and by MICINN under project MTM 2010-17687. The second author was partially supported by Vicerrectorado de Investigación, Desarrollo e Innovación de la Universidad de Alicante under project GRE11-23.
URI: http://hdl.handle.net/10045/38406
ISSN: 0022-247X (Print) | 1096-0813 (Online)
DOI: 10.1016/j.jmaa.2012.10.024
Language: eng
Type: info:eu-repo/semantics/article
Peer Review: si
Publisher version: http://dx.doi.org/10.1016/j.jmaa.2012.10.024
Appears in Collections:INV - CADAGL - Artículos de Revistas

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