Approximate Generalized Derivations on Triangular Banach Algebras Associated to Modules |
کد مقاله : 1056-SHAA |
نویسندگان |
ابراهیم نصرآبادی * گروه ریاضی، دانشکده علوم، دانشگاه بیرجن، بیرجند، ایران |
چکیده مقاله |
In this paper, we introduce the concept of approximate generalized derivation on modules. In the following, we investigate the approximate generalized derivations on triangular Banach algebras associated with modules and for Banach algebra $A$, we show that there is a relationship between approximate generalized derivations on Banach right $A$-module $X$ and approximate generalized derivations on triangular Banach algebra $mathcal{T}=left[begin{array}{rr}mathcal{B}(X) & X \ & A end{array} right]$. |
کلیدواژه ها |
Banach algebra, Triangular Banach algebra, Generalized derivation, Approximate generalized derivation |
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