Geodesic
On generalized derivations in Banach algebras
Nadia Boudi 1   ; Said Ouchrif 1
1 Département de Mathématiques Faculté des Sciences Université My Ismail Zitoune Meknes, Maroc
Studia Mathematica, Tome 194 (2009) no. 1, pp. 81-89 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study generalized derivations $G$ defined on a complex Banach algebra $A$ such that the spectrum $\sigma (Gx)$ is finite for all $x \in A$. In particular, we show that if $A$ is unital and semisimple, then $G$ is inner and implemented by elements of the socle of $A$.
DOI : 10.4064/sm194-1-5
Keywords: study generalized derivations defined complex banach algebra spectrum sigma finite particular unital semisimple inner implemented elements socle

Nadia Boudi  1   ; Said Ouchrif  1

1 Département de Mathématiques Faculté des Sciences Université My Ismail Zitoune Meknes, Maroc 
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Nadia Boudi; Said Ouchrif. On generalized derivations in Banach algebras. Studia Mathematica, Tome 194 (2009) no. 1, pp. 81-89. doi: 10.4064/sm194-1-5

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