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Weak amenability of module extensions of Banach algebras |
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| Authors: | Yong Zhang |
| Affiliation: | Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2 |
| Abstract: | We start by discussing general necessary and sufficient conditions for a module extension Banach algebra to be  -weakly amenable, for  . Then we investigate various special cases. All these case studies finally provide us with a way to construct an example of a weakly amenable Banach algebra which is not  -weakly amenable. This answers an open question raised by H. G. Dales, F. Ghahramani and N. Grønbæk. |
| Keywords: | $n$-weakly amenable module dual module derivation operator algebra |
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