New inner product quasilinear spaces on interval numbers
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Matematikçiler Derneği
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Aseev [2] launched a new branch of functional analysis by introducing the
concept of quasilinear spaces which is generalization of classical linear spaces. He
proceeds, in a similar way to linear functional analysis on quasilinear spaces by
introducing the notions of norm, with quasilinear operators and functional. We know
that any inner product space is a normed space and any normed space is a particular
class of normed quasilinear space. Hence, this relation and Aseev’s work motivated
us to quasilinear counterparts of inner product space in classical analysis in [7].
Generally in [7], we give some consistent quasilinear counterparts of fundamental
definitions and theorems in linear functional analysis.
In this work, we examine a new type of a quasilinear space, namely, “ ”
interval space. We obtain some new theorems and results related to this new
quasilinear space. After giving some new notions of quasilinear dependenceindependence and basis on quasilinear functional analysis [5], we obtain some
results on “ ” interval space related to these concepts. Furthermore, we present
the concepts of “ and ” interval sequence spaces as new examples of
quasilinear spaces. Moreover, we obtain some theorems and results related to these
new spaces which provide us with improving the elements of the quasilinear
functional analysis.
Açıklama
Anahtar Kelimeler
Quasilinear Space, Quasilinear Inner Product Space, Interval Space
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Bozkurt, H., Yılmaz, Y. (2017). New inner product quasilinear spaces on interval numbers. International Conference on Mathematics and Mathematics Education (ICMME-2017), 11-13 May 2017, Şanlıurfa.
