On The Spaces of Linear Operators Acting Between Asymmetric Cone Normed Spaces
Yükleniyor...
Dosyalar
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
An asymmetric norm is a positive sublinear functional p on a real vector space X satisfying whenever . Since the space of all lower semi-continuous linear functionals of an asymmetric normed space is not a linear space, the theory is different in the asymmetric case. The main purpose of this study is to define bounded and continuous linear operators acting between asymmetric cone normed spaces. After examining the differences with symmetric case, we give some results related to Baire's characterization of completeness in asymmetric cone normed spaces.
Açıklama
Kara, Emrah Evren/0000-0002-6398-4065; Ilkhan, Merve/0000-0002-0831-1474
WOS: 000433998800004
WOS: 000433998800004
Anahtar Kelimeler
Asymmetric norm, Cone norm, Bounded linear operators, Completeness
Kaynak
Mediterranean Journal Of Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
15
Sayı
3
