Types over c(k) spaces
2004 ◽
Vol 77
(1)
◽
pp. 17-28
Keyword(s):
AbstractLet K be a compact Hausdorff space and C(K) the Banach space of all real-valued continuous functions on K, with the sup norm. Types over C(K) (in the sense of Krivine and Maurey) are represented here by pairs (l, u) of bounded real-valued functions on K, where l is lower semicontinuous and u is upper semicontinuous, l ≤ u and l(x) = u(x) for every isolated point x of K. For each pair the corresponding type is defined by the equation τ(g) = max{║l + g║∞, ║u + g║∞} for all g ∈ C(K), where ║·║∞ is the sup norm on bounded functions. The correspondence between types and pairs (l, u) is bijective.
2005 ◽
Vol 2005
(16)
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pp. 2533-2545
1971 ◽
Vol 23
(3)
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pp. 468-480
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2010 ◽
Vol 52
(3)
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pp. 435-445
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1968 ◽
Vol 32
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pp. 287-295
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2019 ◽
Vol 2019
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pp. 1-7
1985 ◽
Vol 101
(3-4)
◽
pp. 203-206
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1991 ◽
Vol 34
(2)
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pp. 145-146
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1983 ◽
Vol 28
(2)
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pp. 175-186
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Keyword(s):
Keyword(s):