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- Title
Derivations on the Module Extension Banach Algebras.
- Authors
Teymouri, A.; Bodaghi, A.; Bagha, D. Ebrahimi
- Abstract
We correct some results presented in [M. Eshaghi Gordji, F. Habibian, and A. Rejali, Int. J. Contemp. Math. Sci., 2, No. 5, 213 (2007)]. By using the obtained consequences, we establish necessary and sufficient conditions for the module extension A ⨁ X to be (I ⨁ Y)-weakly amenable, where I is a closed ideal of the Banach algebra A and Y is a closed A-submodule of the Banach A-bimodule X. We apply this result to the module extension A ⨁ (X1 u X2), where X1 and X2 are two Banach A-bimodules.
- Subjects
BANACH algebras; IDEALS (Algebra)
- Publication
Ukrainian Mathematical Journal, 2021, Vol 73, Issue 4, p661
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-021-01950-x