τ-CENTRALIZERS AND GENERALIZED DERIVATIONS Zhou, Jiren;
In this paper, we show that Jordan -centralizers and local -centralizers are -centralizers under certain conditions. We also discuss a new type of generalized derivations associated with Hochschild 2-cocycles and introduce a special local generalized derivation associated with Hochschild 2-cocycles. We prove that if is a CDCSL and is a dual normal unital Banach -bimodule, then every local generalized derivation of above type from into is a generalized derivation.
Jordan -centralizer;local -centralizer;local generalized derivation;Hochschild 2-cocycle;