A new Approach to Baire's Theorem and Banach Steinhaus Theorem in Linear 2-Normed Spaces

DOI:

https://doi.org/10.24297/jam.v9i1.2465

Keywords:

linear 2-normed space, locally convex topological vector space, 2-Banach space, equi-continuity, locally bounded set, equi-bounded.

Abstract

In this paper we construct the topological structure of linear 2-normed space. This enable us to dene the concept of open sets in linear 2-normed space and derive an analogue of Baire's theorem and Banach Steinhaus theorem in linear 2-normed spaces.

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Published

2014-07-04

How to Cite

A new Approach to Baire’s Theorem and Banach Steinhaus Theorem in Linear 2-Normed Spaces. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 9(1), 1891–1901. https://doi.org/10.24297/jam.v9i1.2465

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Articles