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Mustafayev, Heybetkulu
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd"> <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/5857</identifier> <creators> <creator> <creatorName>Mustafayev, Heybetkulu</creatorName> <givenName>Heybetkulu</givenName> <familyName>Mustafayev</familyName> <affiliation>Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey</affiliation> </creator> </creators> <titles> <title>On The Convergence Of Iterates Of Convolution Operators In Banach Spaces</title> </titles> <publisher>Aperta</publisher> <publicationYear>2020</publicationYear> <dates> <date dateType="Issued">2020-01-01</date> </dates> <resourceType resourceTypeGeneral="Text">Journal article</resourceType> <alternateIdentifiers> <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/5857</alternateIdentifier> </alternateIdentifiers> <relatedIdentifiers> <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.7146/math.scand.a-119601</relatedIdentifier> </relatedIdentifiers> <rightsList> <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights> <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights> </rightsList> <descriptions> <description descriptionType="Abstract">Let G be a locally compact abelian group and let M(G) be the measure algebra of G. A measure mu is an element of M(G) is said to be power bounded if sup(n &gt;= 0) parallel to mu(n)parallel to(1) &lt; infinity. Let T = {T-g : g is an element of G} be a bounded and continuous representation of G on a Banach space X. For any mu is an element of M(G), there is a bounded linear operator on X associated with mu, denoted by T-mu, which integrates T-g with respect to mu. In this paper, we study norm and almost everywhere behavior of the sequences {T-mu(n) x} (x is an element of X) in the case when mu, is power bounded. Some related problems are also discussed.</description> </descriptions> </resource>
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