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

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1

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.

Authors and Affiliations

P. Riyas, K T Ravindran

Keywords

Related Articles

A way to compute a greatest common divisor in the Galois field (GF (2^n ))

This paper presents how the steps that used to determine a multiplicative inverse by method based on the Euclidean algorithm, can be used to find a greatest common divisor for polynomials in the Galois field (2^n ).

Distance Ratio Metric on the Unit Disk

We prove Lipschitz continuity of arbitrary analytic mapping f : D --> D regarding the distance ratio metric with the Lipschitz constant C = 2. This represents a generalization for the unit disk domain of Gehring - Pal...

Expected time to recruitment in a single grade manpower system with two thresholds

In this paper, a single graded marketing organization which is subject to loss of manpower due to its policy decisions is considered. A mathematical model is constructed using an univariate recruitment policy based...

Karp's Theorem in Inverse Obstacle Scattering Problems

In this work, we provide a proof of the so-called Karp's theorem in a different approach. We use the unique continuation principle together with the monotonicity of eigenvalues for the negative Laplace operator...

Method for Optimizing the Dual of Linear Fuzzy Programming Problems

This article’s goal is to support the existence of the dual in a Linear Fuzzy Real environment and focus on its application to Linear fuzzy program problems. This concept will apply to linear fuzzy programming problems...

Download PDF file
  • EP ID EP651403
  • DOI 10.24297/jam.v9i1.2465
  • Views 213
  • Downloads 0

How To Cite

P. Riyas, K T Ravindran (2014). A new Approach to Baire's Theorem and Banach Steinhaus Theorem in Linear 2-Normed Spaces. JOURNAL OF ADVANCES IN MATHEMATICS, 9(1), 1891-1901. https://europub.co.uk/articles/-A-651403