New Inner Product Quasilinear Spaces on Interval Numbers. (26th July 2016)

• Record Type: Journal Article
• Authors: Bozkurt, Hacer; Yilmaz, Yılmaz
• Other Names: Petrusel Adrian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-07-26
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/2619271
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Primarily we examine the new example of quasilinear spaces, namely, "I R n 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 I R n interval space related to these concepts. Secondly, we present I s, I c 0, I l ∞, and I l 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.