Published: 2020-04-18

Page: 38-45


Department of Mathematics, Federal University, Birnin Kebbi, P.M.B. 1157, Kebbi State, Nigeria.


Department of Mathematics, Usmanu Danfodiyo University, Sokoto, P.M.B. 2346, Sokoto State, Nigeria.


Department of Mathematics, Usmanu Danfodiyo University, Sokoto, P.M.B. 2346, Sokoto State, Nigeria.

*Author to whom correspondence should be addressed.


Cone normed spaces are the generalization of the normed spaces with many authors adjusting the theory to the classical one. Despite all the efforts of researchers in generalizing the theory, there is no specific research on the duality of cone normed space in the literature. In this paper, we investigate and study some properties of the space of all continuous linear mappings between cone normed spaces, this allows us to define the concept of dual in the setting of cone normed spaces, state some of its properties and used the properties to prove the Hahn-Banach Theorem in cone normed space.

Keywords: Continuous linear map, cone norm, semi-cone norm, dual space, Hahn-Banach theorem.

How to Cite

YUSUF, A., GARBA, A. I., & NAKONE, B. (2020). ON THE DUAL SPACE OF CONE NORMED SPACES. Asian Journal of Mathematics and Computer Research, 27(1), 38–45. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/5017


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