Order norm completion of cone metric spaces
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed. This order norm has to satisfy the generalized absolute value property. In particular if E is a Dedekind complete Banach lattice then together with its absolute value norm they satisfy the desired properties.
Açıklama
Anahtar Kelimeler
Cone metric space, Cone norm space, Strongly minihedral, Cone isometry, Absolute value preoperty
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Abdeljawad, T. (2009). Order norm completion of cone metric spaces. Maltepe Üniversitesi. s. 372.
