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
كليدواژه :
generalized derivations , k , centralizing , k skew centralizing , Banach algebras
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
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.
