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Some Ergodic Properties of Multipliers on Commutative Banach Algebras

dc.authorscopusid 25123084500
dc.authorscopusid 57209318700
dc.contributor.author Mustafayev, Heybetkulu
dc.contributor.author Topal, Hayri
dc.date.accessioned 2025-05-10T17:43:28Z
dc.date.available 2025-05-10T17:43:28Z
dc.date.issued 2019
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Mustafayev, Heybetkulu; Topal, Hayri] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey en_US
dc.description.abstract A commutative semisimple regular Banach algebra Sigma(A) with the Gelfand space Sigma(A) is called a Ditkin algebra if each point of Sigma(A) boolean OR {infinity} is a set of synthesis for A. Generalizing the Choquet-Deny theorem, it is shown that if T is a multiplier of a Ditkin algebra A, then {phi is an element of A* : T* phi = phi} is finite dimensional if and only if card F-T is finite, where F-T = {gamma is an element of Sigma(A) : (T) over cap (gamma) = 1} and (T) over cap is the Helgason-Wang representation of T. en_US
dc.description.sponsorship TUBITAK 1001 project MFAG [118F410] en_US
dc.description.sponsorship The authors were supported by the TUBITAK 1001 project MFAG No: 118F410. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.3906/mat-1812-110
dc.identifier.endpage 1729 en_US
dc.identifier.issn 1300-0098
dc.identifier.issn 1303-6149
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-85067356359
dc.identifier.scopusquality Q2
dc.identifier.startpage 1721 en_US
dc.identifier.trdizinid 337124
dc.identifier.uri https://doi.org/10.3906/mat-1812-110
dc.identifier.uri https://hdl.handle.net/20.500.14720/15879
dc.identifier.volume 43 en_US
dc.identifier.wos WOS:000475501700046
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Tubitak Scientific & Technological Research Council Turkey en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Commutative Banach Algebra en_US
dc.subject Multiplier en_US
dc.subject Choquet-Deny Theorem en_US
dc.title Some Ergodic Properties of Multipliers on Commutative Banach Algebras en_US
dc.type Article en_US

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