Details
Original language | English |
---|---|
Pages (from-to) | 1325–1343 |
Journal | POSITIVITY |
Volume | 22 |
Early online date | 24 Mar 2018 |
Publication status | Published - Nov 2018 |
Externally published | Yes |
Abstract
There is an error in Proposition 3.10. In fact, the stated proof only shows., Proposition 0.1 If ca * c = ∞ c , then ∞ c is order complete. Conversely, if ∞ c is order complete and if the order continuous dual of ∞ c may be identified with cac, then ca* c = ∞ c . This affects Examples 3.11 and 3.12 in which the additional condition that the order continuous dual of ∞ c may be identified with cac has to be added. We thank Felix-Benedikt Liebrich for discussions which made us recognize the error.
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Theoretical Computer Science
- Mathematics(all)
- General Mathematics
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In: POSITIVITY, Vol. 22, 11.2018, p. 1325–1343.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fatou closedness under model uncertainty
AU - Maggis, Marco
AU - Meyer-Brandis, Thilo
AU - Svindland, G.
N1 - Publisher Copyright: © 2018, Springer Nature Switzerland AG.
PY - 2018/11
Y1 - 2018/11
N2 - There is an error in Proposition 3.10. In fact, the stated proof only shows., Proposition 0.1 If ca * c = ∞ c , then ∞ c is order complete. Conversely, if ∞ c is order complete and if the order continuous dual of ∞ c may be identified with cac, then ca* c = ∞ c . This affects Examples 3.11 and 3.12 in which the additional condition that the order continuous dual of ∞ c may be identified with cac has to be added. We thank Felix-Benedikt Liebrich for discussions which made us recognize the error.
AB - There is an error in Proposition 3.10. In fact, the stated proof only shows., Proposition 0.1 If ca * c = ∞ c , then ∞ c is order complete. Conversely, if ∞ c is order complete and if the order continuous dual of ∞ c may be identified with cac, then ca* c = ∞ c . This affects Examples 3.11 and 3.12 in which the additional condition that the order continuous dual of ∞ c may be identified with cac has to be added. We thank Felix-Benedikt Liebrich for discussions which made us recognize the error.
UR - http://www.scopus.com/inward/record.url?scp=85057313950&partnerID=8YFLogxK
U2 - 10.1007/s11117-018-0578-1
DO - 10.1007/s11117-018-0578-1
M3 - Article
VL - 22
SP - 1325
EP - 1343
JO - POSITIVITY
JF - POSITIVITY
SN - 1385-1292
ER -