Dergi makalesi Açık Erişim
Mustafayev, Heybetkulu
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<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>
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