Further Properties of Fuzzy Banach Spaces
In this chapter, we consider some important properties of fuzzy Banach spaces. In Section 3.1, we discuss about finite dimensional fuzzy Banach spaces and prove some important theorems on linearly independent set. Next, we prove, in a finite dimensional vector space X, every two fuzzy norms are equivalent. Finally, we study some bounded and continuous linear operators in fuzzy normed spaces.
- 98.E. Kreyszig, Introductory Functional Analysis with Applications, Wiley Classics Library (Wiley, New York, 1989)Google Scholar