Constructions of the maximal strongly character invariant segal algebras and their applications
1983 ◽
Vol 35
(1)
◽
pp. 123-131
Keyword(s):
AbstractLet G denote any locally compact abelian group with the dual group Γ. We construct a new kind of subalgebra L1(G) ⊗ΓS of L1(G) from given Banach ideal S of L1(G). We show that L1(G) ⊗гS is the larger amoung all strongly character invariant homogeneous Banach algebras in S. when S contains a strongly character invariant Segal algebra on G, it is show that L1(G) ⊗гS is also the largest among all strongly character invariant Segal algebras in S. We give applications to characterizations of two kinds of subalgebras of L1(G)-strongly character invariant Segal algebras on G and Banach ideal in L1(G) which contain a strongly character invariant Segal algebra on G.
2013 ◽
Vol 95
(1)
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pp. 20-35
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1982 ◽
Vol 25
(2)
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pp. 293-301
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1973 ◽
Vol 9
(1)
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pp. 73-82
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1987 ◽
Vol 39
(1)
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pp. 123-148
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Keyword(s):
2013 ◽
Vol 160
(5)
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pp. 682-684
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Keyword(s):
1971 ◽
Vol 70
(1)
◽
pp. 31-47
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Keyword(s):
2002 ◽
Vol 133
(2)
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pp. 357-371
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1982 ◽
Vol 5
(3)
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pp. 503-512
1978 ◽
Vol 18
(1)
◽
pp. 1-11
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1968 ◽
Vol 64
(2)
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pp. 323-333
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