Riesz spaces with the order-continuity property. I
1977 ◽
Vol 81
(1)
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pp. 31-42
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Keyword(s):
A Riesz space E has the (sequential) order-continuity property if every positive linear map from E to an Archimedean Riesz space is (sequentially) order-continuous. This is the case if and only if the canonical maps from E to its Archimedean quotient spaces are all (sequentially) order-continuous. I relate these properties to others that have been described elsewhere.
1978 ◽
Vol 83
(2)
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pp. 211-223
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Keyword(s):
1989 ◽
Vol 105
(3)
◽
pp. 523-536
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2011 ◽
Vol 9
(3)
◽
pp. 283-304
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Keyword(s):
2007 ◽
Vol 59
(2)
◽
pp. 343-371
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Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):