On 2-F-Normed Spaces
Nur Khusnussaadah, Supama, Atok Zulijanto

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada

Abstract

In this paper, we construct a 2-F-normed space. The space is not only a generalization of a 2-normed space, but it is also closely related to an F-normed space, in the sense that for any given 2-F-normed space, we can derive an appropriate F-normed space. Furthermore, we can prove some properties of a 2-F-normed space through those of its derived F-normed space.

Keywords: 2-norm, F-norm, convergent sequence, sequence spaces

Topic: Functional Analysis