A note on right invariant integrals on locally compact semigroups
1968 ◽
Vol 8
(3)
◽
pp. 512-514
◽
Keyword(s):
An integral on a locally compact Hausdorff semigroup S is a nontrivial, positive linear function μ on the space K(S) of real-valued continuous functions on S with compact support. If S has the property: is compact whenever A is compact subset of S and s ∈ S, then the function fa defined by fa(x) = f(xa) is in K(S) whenever f ∈ K(S) and a ∈ S An integral on a locally compact semigroup S with the property (P) is said to be right invariant if μ(fa) = μ(f) for all f ∈ K(S) and a ∈ S.
1964 ◽
Vol 4
(3)
◽
pp. 273-286
◽
1987 ◽
Vol 30
(3)
◽
pp. 273-281
◽
1985 ◽
Vol 37
(1)
◽
pp. 29-47
◽
2008 ◽
Vol 2008
◽
pp. 1-18
1975 ◽
Vol 18
(1)
◽
pp. 127-132
◽
1977 ◽
Vol 23
(1)
◽
pp. 84-94
◽
1970 ◽
Vol 11
(4)
◽
pp. 417-420
1966 ◽
Vol 17
(2)
◽
pp. 377-377
◽
1987 ◽
Vol 30
(2)
◽
pp. 142-146
◽
1972 ◽
Vol 13
(2)
◽
pp. 180-184
◽