L-ideals of M(G) determined by continuity of translation
1973 ◽
Vol 18
(4)
◽
pp. 307-316
◽
Keyword(s):
G denotes a locally compact abelian group and M(G) the convolution algebra of regular bounded Borel measures on G. An ideal I of M(G) closed in the usual (total variation) norm topology is called an L-ideal if μ ∈ I, ν≪ μ (ν absolutely continuous with respect to μ) implies that ν ∈ I. Here we are concerned with the L-idealsL1(G), , and M0(G) where, as usual, L1(G) denotes the set of measures absolutely continuous with respect to Haar measure, denotes the radical of L1(G) in M(G) and M0(G) denotes the set of measures whose Fourier-Stieltjes transforms vanish at infinity.
1968 ◽
Vol 64
(2)
◽
pp. 323-333
◽
1978 ◽
Vol 19
(1)
◽
pp. 49-56
◽
1959 ◽
Vol 11
(4)
◽
pp. 195-206
◽
1968 ◽
Vol 64
(4)
◽
pp. 1015-1022
◽
1969 ◽
Vol 66
(3)
◽
pp. 547-551
◽
1964 ◽
Vol 4
(4)
◽
pp. 403-409
◽
1994 ◽
Vol 14
(2)
◽
pp. 130-138
◽
Keyword(s):
2007 ◽
Vol 75
(2)
◽
pp. 369-390
◽
Keyword(s):
2008 ◽
Vol 340
(1)
◽
pp. 219-225
◽