Characterization of generalized derivations associate with Hochschild 2-cocycles on triangular Banach algebras

Authors

  • Mehdi Kanani Arpatapeh
  • Ali Jabbari

Keywords:

Banach algebra, cocycle, generalized derivation, triangular Banach algebra

Abstract

Let A and B be unital Banach algebras and M be a left A-module and right B-module. We consider generalized derivations associate with Hochschild 2-cocycles on triangular Banach al- gebra T (related to A, B and M). We characterize this new version of generalized derivations on triangular Banach algebras and we obtain some results for £1-direct summands of Banach algebras.

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Published

2015-09-29

Issue

Vol. 9

Section

Vol. 9, No. 4, (2015)

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