Some new properties of inner product quasilinear spaces
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iksad Publications
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The theory of quasilinear analysis is one of the fundamental theories in nonlinear analysis which has various
applications such as integral and differential equations, approximation theory and bifurcation theory. Aseev
generalized the concept of linear spaces, using the partial order relation hence they have defined the
quasilinear spaces. He also described the convergence of sequences and norm in quasilinear space. Further,
he introduced the concept of Ω-space which is only meaningful in normed quasilinear spaces.
In the present presentation, we introduce over symmetric set on a inner product quasilinear spaces. We
establish some new results related to this new concept. Further, we obtain new conclusions for orthogonal
and orthonormal subspaces of inner product quasilinear spaces. These results generalize recent well known
results in the linear inner product spaces. Also, some examples have been given which provide an important
contribution to understand the structure of inner product quasilinear spaces.
Açıklama
Anahtar Kelimeler
Quasilinear Space, Inner Product Quasilinear Space, Hilbert Quasilinear Space, Orthogonality, Orthonormality
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Bozkurt, H., Yılmaz, Y. (2018). Some new properties of inner product quasilinear spaces. 3rd. International Congress on Mathematic, Engineering and Natural Sciences, 21-22 April 2018, Mardin.
