Weak module amenability for the second dual of a Banach algebra
2021 ◽
Vol 25
(2)
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pp. 297-306
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In this paper we study the weak module amenability of Banach algebras which are Banach modules over another Banach algebra with compatible actions. We show that for every module derivation D : A ↦ ( A/J_A )∗ if D∗∗(A∗∗) ⊆ WAP (A/J_A ), then weak module amenability of A∗∗ implies that of A. Also we prove that under certain conditions for the module derivation D, if A∗∗ is weak module amenable then A is also weak module amenable.
2018 ◽
Vol 17
(12)
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pp. 1850225
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1989 ◽
Vol 105
(2)
◽
pp. 351-355
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2002 ◽
Vol 65
(2)
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pp. 191-197
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2001 ◽
Vol 44
(4)
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pp. 504-508
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