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LOCAL DERIVATION OF REAL OPERATOR ALGEBRAS

U.Sh. KarimovNational university of Uzbekistan,Tashkent, UzbekistanChief EditorUniversiti Malaysia Terengganu
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Abstract

Local derivations of real W*-algebras are considered. Since in the self-adjoint part of the real W*-algebra a local derivation is studied in the same way as in the complex case, here we consider the skew-adjoint part of the real W*-algebra. In the case of factors, the final result has been obtained, namely, it has been proven that any local derivation of real (complex) factors is an inner derivation.

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