Double-dual types over the Banach spaceC(K)
2005 ◽
Vol 2005
(16)
◽
pp. 2533-2545
Keyword(s):
LetKbe a compact Hausdorff space andC(K)the Banach space of all real-valued continuous functions onK, with the sup-norm. Types overC(K)(in the sense of Krivine and Maurey) can be uniquely represented by pairs(ℓ,u)of bounded real-valued functions onK, whereℓis lower semicontinuous,uis upper semicontinuous,ℓ≤u, andℓ(x)=u(x)for all isolated pointsxofK. A condition that characterizes the pairs(ℓ,u)that represent double-dual types overC(K)is given.
2004 ◽
Vol 77
(1)
◽
pp. 17-28
1971 ◽
Vol 23
(3)
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pp. 468-480
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Keyword(s):
2010 ◽
Vol 52
(3)
◽
pp. 435-445
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Keyword(s):
1968 ◽
Vol 32
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pp. 287-295
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2019 ◽
Vol 2019
◽
pp. 1-7
1985 ◽
Vol 101
(3-4)
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pp. 203-206
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1991 ◽
Vol 34
(2)
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pp. 145-146
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1999 ◽
Vol 42
(1)
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pp. 118-124
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Keyword(s):
1983 ◽
Vol 28
(2)
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pp. 175-186
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