Some new results on inner product quasilinear spaces
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Matematikçiler Derneği
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Aseev in [1] introduced the theory of quasilinear spaces which is generalization
of classical linear spaces. He used the partial order relation when he defined the
quasilinear spaces and so he can give consistent counterparts of results in linear
spaces. Further, he also described the convergence of sequences and norm in
quasilinear space. We see from the definition of quasilinear space which given in [1],
the inverse of some elements of in quasilinear space may not be available. In [4],
these elements are called as singular elements of quasilinear space. At the same
time the others which have an inverse are referred to as regular elements. Then, [6],
she noticed that the base of each singular elements of a combination of regular
elements of the quasilinear space. Therefore, she defined the concept of the floor of
an element in quasilineer space in [6] which is very convenient for some analysis of
quasilinear spaces. This work has motivated us to introduce some results about the
floors of inner product quasilinear spaces.
In this article, we research on the properties of the floor of an element taken
from an inner product quasilinear space. We prove some theorems related to this
new concept. Further, we try to explore some new results in quasilinear functional
analysis. Also, some examples have been given which provide an important
information about the properties of floor of an inner product quasilinear space.
Açıklama
Anahtar Kelimeler
Quasilinear Space, Inner Product Quasilinear Space, Solid-Floored Quasilinear Space
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Bozkurt, H., Yılmaz, Y. (2017). Some new results on inner product quasilinear spaces. International Conference on Mathematics and Mathematics Education (ICMME-2017), 11-13 May 2017, Şanlıurfa.
