2-Local derivations on real matrix algebras over unital semi-prime Banach algebras are considered. Using the real analogue of the result that any 2-local derivation on the algebra \(M_{2^n}(A)\) (\(n\ge 2\)) is a derivation, it is shown that any 2-local derivation on real AW\(^*\)-algebra for which the enveloping algebra is (complex) AW*-algebra, is a derivation, where A is a unital semi-prime Banach algebra with the inner derivation property.

中文翻译：

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实数AW *-代数的2局部导数是导数

考虑了单位半素Banach代数上实矩阵代数的2局部导数。使用代数\（M_ {2 ^ n}（A）\）（\（n \ ge 2 \））上的任何2局部导数都是结果的实数模拟，表明任何2实数AW \（^ * \）-代数的局部导数，其包络代数是（复数）AW *-代数，是一种导数，其中A是具有内部导数性质的unit半素Banach代数。