A new 2-norm generated by bounded linear functionals on a normed space
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Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we introduce a new 2-norm generated by bounded linear functionals on a normed space X with dimension dim(X) >= 2, and investigate its relationship with the Gahler's 2-norm [Lineare 2-normierte Raume, Math. Nachr.]. We also derive a norm on X to explore its relation with the usual norm on X.
Açıklama
Anahtar Kelimeler
2-Normed Space; Norm; Equivalence Of Norms; Bounded Linear Functionals
