Title of article :
Spectral Theory in Fuzzy Normed Spaces
Author/Authors :
Abdul-Samee., A Technology University - School of Applied Sciences, Iraq , Ahlam Jameel., K. Al-Nahrain University - College of Science - Department of Mathematics and Computer Applications, Iraq , Faria Ali., C. Al-Mustansiriyah University - College of Science - Department of Mathematics, Iraq
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
Journal title :
Al-Nahrain Journal Of Science
Journal title :
Al-Nahrain Journal Of Science
