Riesz Lemma in Normed Quasilinear Spaces and Its an Application
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Natl Acad Sciences India
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Aseev (Proc Steklov Inst Math 2:23-52, 1986) started a new field in functional analysis by introducing the concept of normed quasilinear spaces which is a generalization of classical normed linear spaces. Then, we introduced the normed proper quasilinear spaces in addition to the notions of regular and singular dimension of a quasilinear space, Cakan and Yilmaz (J Nonlinear Sci Appl 8:816-836, 2015). In this study, we classify the normed proper quasilinear spaces as solid-floored and non solid-floored. Thus, some properties of normed proper quasilinear spaces become more comprehensible. Also we present the counterpart of classical Riesz lemma in normed quasilinear spaces.
Açıklama
Anahtar Kelimeler
Quasilinear spaces, Floor of an element, Normed proper quasilinear spaces, Solid-floored quasilinear spaces, Riesz lemma for normed quasilinear spaces
Kaynak
Proceedings of The National Academy of Sciences India Section A-Physical Sciences
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
88
Sayı
2
