شماره ركورد كنفرانس
5263
عنوان مقاله
A NOTE ON GENERALIZED DERIVATIONS OF CERTAIN BANACH ALGEBRAS
پديدآورندگان
MEHDIPOUR MOHAMMAD JAVAD mehdipour@sutech.ac.ir Department of Mathematics, Shiraz University of Technology, Shiraz 71555-313, Iran , MOGHIMI GHOLAM REZA moghimimath@pnu.ac.ir Department of Mathematics, Payame Noor University, Tehran 19395-4697, Iran , SALKHORDEH NARJES n.salkhordeh@sutech.ac.ir Department of Mathematics, Shiraz University of Technology, Shiraz 71555-313, Iran
تعداد صفحه
3
كليدواژه
generalized derivations , k , centralizing , k skew centralizing , Banach algebras
سال انتشار
1402
عنوان كنفرانس
54 امين كنفرانس رياضي ايران
زبان مدرك
انگليسي
چكيده فارسي
Let A be a Banach algebra such that either EA is semisimple when A has a right identity E or A/ran(A) is semisim_x0002_ple. In this paper, we prove that a generalized derivation (D, d) of A is spectrally infinitesimal if and only if D = d; or equivalently, D(A) ⊆ rad(A). We also show that a generalized derivation (D, d) of A is k−centerlizing if and only if D = Rx for some x ∈ Z(A), where Rx(a) = ax for all a ∈ A.
كشور
ايران
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