New Type Ultra-Banach Spaces

Abstract

In this paper, we have given some definitions and theorems about ultra-metric, ultra-normed spaces which are shown in mathematical literature. Then, we have defined some new type ultra-Banach spaces and we have shown that these spaces are ultra-isomorphic and studied some interesting properties. Furthermore, some inclusion theorems are proved about these new type ultra-Banach spaces.

Keywords: Ultra-metric, ultra-norm, non-Archimedean space, ultra-convergent.

DOI: 10.7176/JSTR/5-12-02