Johnson Pseudo-Contractibility and Pseudo-Amenability of θ-Lau Product
Keyword(s):
Given Banach algebras A and B and θ ∈ ∆(B). We shall study the Johnson pseudo-contractibility and pseudo-amenability of the θ-Lau product A×θ B. We show that if A ×θ B is Johnson pseudo-contractible, then both A and B are Johnson pseudo-contractible and A has a bounded approximate identity. In some particular cases, a complete characterization of Johnson pseudo-contractibility of A ×θ B is given. Also, we show that pseudo-amenability of A ×θ B implies the approximate amenability of A and pseudo-amenability of B.
2010 ◽
Vol 89
(3)
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pp. 359-376
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2008 ◽
Vol 145
(2)
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pp. 403-418
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Keyword(s):
2019 ◽
Vol 125
(1)
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pp. 10008
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