Characterizations of riesz spaces with b-property
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Dosyalar
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A Riesz space E is said to have b-property if each subset which is order bounded in E-similar to similar to is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E-similar to, E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.
Açıklama
5th Positivity Conference -- JUL 23-27, 2007 -- Queen Univ, Belfast, IRELAND
Anahtar Kelimeler
Riesz Spaces, B-property, Locally Solid Riesz Spaces, Levi Property
Kaynak
Positivity
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
13
Sayı
1
