Abstract and Applied Analysis
Volume 2010 (2010), Article ID 131868, 14 pages
doi:10.1155/2010/131868
Research Article

Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space

M. Mursaleen,1 V. Karakaya,2 and S. A. Mohiuddine3

1Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
2Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul 34220, Turkey
3Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

Received 23 August 2010; Accepted 30 November 2010

Academic Editor: Norimichi Hirano

Copyright © 2010 M. Mursaleen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts. We also display here some interesting examples by using classical sequence spaces ℓ 𝑝 ( 1 ≤ 𝑝 ≤ ∞ ) .