Some results in the theory of quasilinear spaces

Hacer Bozkurt; Yılmaz Yılmaz

Hacer Bozkurt Batman University
Yılmaz Yılmaz İnönü University

Keywords: Quasilinear space, Normed quasilinear space, Inner product quasilinear space, Homogenized quasilinear space, Equivalent norms

Abstract

In this study, we present some new consequences and exercises of homogenized quasilinear spaces. We also research on the some characteristics of the homogenized quasilinear spaces. Then, we introduce the concept of equivalent norm on a quasilinear space. As in the linear functional analysis, we obtained some results related to equivalent norms defined in normed quasilinear spaces