Generalized derivations associated with Hochschild 2-cocycles on some algebras
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We investigate a new type of generalized derivations associated with Hochschild 2-cocycles which was introduced by A. Nakajima. We show that every generalized Jordan derivation of this type from CSL algebras or von Neumann algebras into themselves is a generalized derivation under some reasonable conditions. We also study generalized derivable mappings at zero point associated with Hochschild 2-cocycles on CSL algebras.
KeywordsCSL algebra generalized derivation generalized Jordan derivation Hochschild 2-cocycle
MSC 201047B47 47L35
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