A Generalization of the Hahn-Banach Theorem in Seminormed Quasilinear Spaces
Sümeyye Çakan, Yılmaz Yılmaz · Journal of Mathematics and Applications · 2019
The concept of normed quasilinear spaces which is a generalization of normed linear spaces gives us a new opportunity to study with a similar approach to classical functional analysis.In this study, we introduce the notion of seminormed quasilinear space as a generalization of normed quasilinear spaces and give various auxiliary results and examples.We present an analog of Hahn-Banach theorem, in seminormed quasilinear spaces.