LOCAL DERIVATION OF REAL OPERATOR ALGEBRAS

U.S. Karimov; Chief Editor

LOCAL DERIVATION OF REAL OPERATOR ALGEBRAS

Authors

Karimov National university of Uzbekistan,Tashkent, Uzbekistan
Chief Editor Universiti Malaysia Terengganu

Keywords:

real C*-algebra, real W*-algebra, local derivation, inner derivation

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.