Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z
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http://hdl.handle.net/10045/38406
Title: | Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z |
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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 INV - GAM - Artículos de Revistas |
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2013_Jimenez_Sepulcre_JMAA_final.pdf | Versión final (acceso restringido) | 242,47 kB | Adobe PDF | Open Request a copy |
2013_Jimenez_Sepulcre_JMAA.pdf | Preprint (acceso abierto) | 177,14 kB | Adobe PDF | Open Preview |
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