The uniform compactification of a locally compact abelian group
1990 ◽
Vol 108
(3)
◽
pp. 527-538
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Keyword(s):
In recent years, the Stone-Čech compactification of certain semigroups (e.g. discrete semigroups) has been an interesting semigroup compactification (i.e. a compact right semitopological semigroup which contains a dense continuous homomorphic image of the given semigroup) to study, because an Arens-type product can be introduced. If G is a non-compact and non-discrete locally compact abelian group, then it is not possible to introduce such a product into the Stone-Čech compactification βG of G (see [1]). However, let UC(G) be the Banach algebra of bounded uniformly continuous complex functions on G, and let UG be the spectrum of UC(G) with the Gelfand topology. If f∈ UC(G), then the functions f and fy defined on G byare also in UC(G).
1959 ◽
Vol 11
(4)
◽
pp. 195-206
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2003 ◽
Vol 68
(2)
◽
pp. 345-350
1987 ◽
Vol 39
(1)
◽
pp. 123-148
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Keyword(s):
1972 ◽
Vol 71
(1)
◽
pp. 63-66
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1966 ◽
Vol 6
(1)
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pp. 65-75
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1971 ◽
Vol 70
(1)
◽
pp. 31-47
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Keyword(s):
2011 ◽
Vol 32
(2)
◽
pp. 763-784
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1971 ◽
Vol 70
(1)
◽
pp. 23-26
1994 ◽
Vol 14
(2)
◽
pp. 130-138
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Keyword(s):
2007 ◽
Vol 75
(2)
◽
pp. 369-390
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Keyword(s):