The Kreps-Yan theorem forL∞
2005 ◽
Vol 2005
(17)
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pp. 2749-2756
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Keyword(s):
We prove the following version of the Kreps-Yan theorem. For any norm-closed convex coneC⊂L∞such thatC∩L+∞={0}andC⊃−L+∞, there exists a strictly positive continuous linear functional, whose restriction onCis nonpositive. The technique of the proof differs from the usual approach, applicable to a weakly Lindelöf Banach space.
1971 ◽
Vol 17
(4)
◽
pp. 341-344
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2003 ◽
Vol 13
(07)
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pp. 1877-1882
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Keyword(s):
1995 ◽
Vol 117
(3)
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pp. 469-477
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1991 ◽
Vol 33
(1)
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pp. 73-81
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1953 ◽
Vol 5
◽
pp. 568-575
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2011 ◽
Vol 5
(2)
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pp. 1-8
1999 ◽
Vol 129
(6)
◽
pp. 1251-1262
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1991 ◽
Vol 50
(3)
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pp. 391-408
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