τ-CENTRALIZERS AND GENERALIZED DERIVATIONS

Title & Authors
τ-CENTRALIZERS AND GENERALIZED DERIVATIONS
Zhou, Jiren;

Abstract
In this paper, we show that Jordan $\small{\tau}$-centralizers and local $\small{\tau}$-centralizers are $\small{\tau}$-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 $\small{\cal{L}}$ is a CDCSL and $\small{\cal{M}}$ is a dual normal unital Banach $\small{alg\cal{L}}$-bimodule, then every local generalized derivation of above type from $\small{alg\cal{L}}$ into $\small{\cal{M}}$ is a generalized derivation.
Keywords
Jordan $\small{\tau}$-centralizer;local $\small{\tau}$-centralizer;local generalized derivation;Hochschild 2-cocycle;
Language
English
Cited by
1.
Characterizations of generalized derivations associated with hochschild 2-cocycles and higher derivations, Quaestiones Mathematicae, 2016, 39, 6, 845
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