On invariant convex subsets in algebras defined on a locally compact group G
2012 ◽
Vol 49
(3)
◽
pp. 301-314
Keyword(s):
Suppose that A is either the Banach algebra L1(G) of a locally compact group G, or measure algebra M(G), or other algebras (usually larger than L1(G) and M(G)) such as the second dual, L1(G)**, of L1(G) with an Arens product, or LUC(G)* with an Arenstype product. The left translation invariant closed convex subsets of A are studied. Finally, we obtain necessary and sufficient conditions for LUC(G)* to have 1-dimensional left ideals.
2001 ◽
Vol 44
(3)
◽
pp. 505-526
◽
2007 ◽
Vol 50
(1)
◽
pp. 153-161
◽
1997 ◽
Vol 56
(3)
◽
pp. 353-361
2013 ◽
Vol 21
(3)
◽
pp. 5-16
1977 ◽
Vol 29
(3)
◽
pp. 626-630
◽
Keyword(s):
2011 ◽
Vol 84
(2)
◽
pp. 177-185
1990 ◽
Vol s2-41
(3)
◽
pp. 445-460
◽
Keyword(s):
1999 ◽
Vol 351
(1)
◽
pp. 417-428
◽