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   Approximately Inner Σ− Dynamics on C∗− Algebras  
   
نویسنده Mosadeq M. ,Hassani M. ,Niknam A.
منبع Journal Of Mahani Mathematical Research - 2012 - دوره : 1 - شماره : 1 - صفحه:55 -63
چکیده    Let d be a ∗− subalgebra of c∗− algebra a and σ : d → a be a linear operator. in this paper we introduce the notions of (approximately inner) σ− derivations and (approximately inner) σ− dynamics on c∗− algebras and present several results concerning on the approximately innerness of such dynamics. in particular we prove that if {ϕt}t∈r is a σ− dynamics on the c∗− algebra a satisfying i ϕt i≤ 2 i σ i +1 and there exists a core d0 for the generator d of {ϕt}t∈r such that d (as a σ− derivation) is approximately inner on d0, then {ϕt}t∈r is an approximately inner σ− dynamics.
کلیدواژه (Inner) Σ− Derivation; (Inner) Σ− Endomorphism; Approximately Inner C∗−(Σ−) Dynamics.
آدرس Islamic Azad University, Mashhad Branch, Faculty Of Sciences, Department Of Mathematics, ایران, Mashhad Branch Islamic Azad University, Mashhad Branch, Faculty Of Sciences, Department Of Mathematics, ایران, Ferdowsi University, Department Of Mathematics And Center Of Excellence In Analysis On Algebraic Structures(Ceaas), ایران
 
     
   
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