Convolution operators on group algebras which are tauberian or cotauberian

Cely, Liliana; Galego, Elói M.; González Ortiz, Manuel

doi:10.1016/j.jmaa.2018.05.007

dc.contributor.author	Cely, Liliana
dc.contributor.author	Galego, Elói M.
dc.contributor.author	González Ortiz, Manuel
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2020-04-22T16:38:40Z
dc.date.available	2020-11-30T03:45:17Z
dc.date.issued	2018
dc.identifier.issn	0022-247X
dc.identifier.issn	1096-0813
dc.identifier.other	MTM2016-76958	es_ES
dc.identifier.uri	http://hdl.handle.net/10902/18470
dc.description.abstract	ABSTRACT: We study the convolution operators Tμ acting on the group algebras L1(G) and M(G), where G is a locally compact abelian group and μ is a complex Borel measure on G. We show that a cotauberian convolution operator Tμ acting on L1(G) is Fredholm of index zero, and that Tμ is tauberian if and only if so is the corresponding convolution operator acting on the algebra of measures M(G), and we give some applications of these results.	es_ES
dc.description.sponsorship	Supported in part by MINECO (Spain), Grant MTM2016-76958.	es_ES
dc.format.extent	9 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Academic Press Inc.	es_ES
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.source	Journal of Mathematical Analysis and Applications (2018) Vol.465, Issue 1, pp. 309-317	es_ES
dc.subject.other	Multiplier	es_ES
dc.subject.other	Tauberian operator	es_ES
dc.subject.other	Convolution operator	es_ES
dc.title	Convolution operators on group algebras which are tauberian or cotauberian	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1016/j.jmaa.2018.05.007	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1016/j.jmaa.2018.05.007
dc.type.version	acceptedVersion	es_ES