Weak amenability of certain classes of Banach algebras without
bounded approximate identities
2002 ◽
Vol 133
(2)
◽
pp. 357-371
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Keyword(s):
In a recent paper [3] Dales and Pandey have shown that the class Sp of Segal algebras is weakly amenable. In this paper, for various classes of Segal algebras, we characterize derivations and multipliers from a Segal algebra into itself and into its dual module. In particular, we prove that every Segal algebra on a locally compact abelian group is weakly amenable and an abstract Segal subalgebra of a commutative weakly amenable Banach algebra is weakly amenable. We also introduce the Lebesgue–Fourier algebra of a locally compact group G and study its Arens regularity when G is discrete or compact.
1983 ◽
Vol 35
(1)
◽
pp. 123-131
Keyword(s):
2009 ◽
Vol 79
(2)
◽
pp. 319-325
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Keyword(s):
2013 ◽
Vol 95
(1)
◽
pp. 20-35
◽
1990 ◽
Vol 13
(3)
◽
pp. 517-525
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2012 ◽
Vol 86
(2)
◽
pp. 315-321
2006 ◽
Vol 58
(4)
◽
pp. 768-795
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2011 ◽
Vol 86
(1)
◽
pp. 90-99
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Keyword(s):
2002 ◽
Vol 65
(2)
◽
pp. 191-197
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Keyword(s):
Keyword(s):