ESSENTIAL CHARACTER AMENABILITY OF BANACH ALGEBRAS
2011 ◽
Vol 84
(3)
◽
pp. 372-386
◽
Keyword(s):
AbstractFor a Banach algebra 𝒜 and a character ϕ on 𝒜, we introduce and study the notion of essential ϕ-amenability of 𝒜. We give some examples to show that the class of essentially ϕ-amenable Banach algebras is larger than that of ϕ-amenable Banach algebras introduced by Kaniuth et al. [‘On ϕ-amenability of Banach algebras’, Math. Proc. Cambridge Philos. Soc.144 (2008), 85–96]. Finally, we characterize the essential ϕ-amenability of various Banach algebras related to locally compact groups.
2009 ◽
Vol 79
(2)
◽
pp. 319-325
◽
Keyword(s):
2007 ◽
Vol 76
(1)
◽
pp. 49-54
◽
Keyword(s):
2011 ◽
Vol 63
(1)
◽
pp. 123-135
◽
2012 ◽
Vol 86
(2)
◽
pp. 315-321
1979 ◽
Vol 31
(1)
◽
pp. 53-67
Keyword(s):
1985 ◽
Vol 95
(3)
◽
pp. 375-375
2010 ◽
Vol 258
(2)
◽
pp. 357-372
◽
Keyword(s):
2011 ◽
Vol 86
(1)
◽
pp. 90-99
◽
Keyword(s):