Spectral Theory in Fuzzy Normed Spaces

Authors

  • Abdul-Samee A School of Applied Sciences, Technology University, Baghdad-Iraq.
  • Ahlam Jameel K Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq.
  • Faria Ali C Department of Mathematics, College of Science, Al-Mustansiriyah University, Baghdad-Iraq

Keywords:

fuzzy norm, fuzzy bounded linear operator, spectrum of a fuzzy bounded linear operator, resolvent set of a fuzzy bounded linear operator

Abstract

 

In this paper we give some definitions related to spectral theory of a linear operator T defined on a fuzzy normed space and we prove that spectrum σ(T) and resolvent set ρ(T) are nonempty for a fuzzy bounded linear operator defined on certain fuzzy normed spaces. Moreover, we show ρ(T) is τ-open and σ(T) is τ-closed.

 

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Published

2011-06-01

Issue

Vol. 14 No. 2 (2011): June

Section

Mathematics

How to Cite

(1)
A, A.-S.; K, A. J.; C, F. A. Spectral Theory in Fuzzy Normed Spaces. Al-Nahrain J. Sci. 2011, 14 (2).