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Spectral Theory in Fuzzy Normed Spaces | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 14, Issue 2, 2011, Pages 178-185 | ||
| Authors | ||
| Ahlam Jameel K; Abdul-Samee A; Faria Ali C | ||
| 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 (T) and resolvent set (T) are nonempty for a fuzzy bounded linear operator defined on certain fuzzy normed spaces. Moreover, we show (T) is -open and (T) is -closed. | ||
| Keywords | ||
| fuzzy norm; Fuzzy bounded linear operator; spectrum of a fuzzy bounded linear operator; resolvent set of a fuzzy bounded linear operator | ||
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