New Inner Product Quasilinear Spaces on Interval Numbers

Bozkurt H., YILMAZ Y.

JOURNAL OF FUNCTION SPACES, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1155/2016/2619271
  • Dergi Adı: JOURNAL OF FUNCTION SPACES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İnönü Üniversitesi Adresli: Evet

Özet

Primarily we examine the new example of quasilinear spaces, namely, "IR" interval space." We obtain some new theorems and results related to this new quasilinear space. After giving some new notions of quasilinear dependence-independence and basis on quasilinear functional analysis, we obtain some results on IR" interval space related to these concepts. Secondly, we present Is, I-c0, Il(00) and Il(2) quasilinear spaces and we research some algebraic properties of these spaces. We obtain some new results and provide an important contribution to the improvement of quasilinear functional analysis.