University of MaraghehSahand Communications in Mathematical Analysis2322-5807Articles in Press20211218An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space24811510.22130/scma.2021.531698.942ENBivasDindaDepartment of Mathematics, Mahishamuri Ramkrishna Vidyapith,
Howrah 711401, WB, India and Department of Mathematics, Kazi Nazrul University,
Asansol 713340, WB, India0000-0002-9761-4820Santanu KumarGhoshDepartment of Mathematics, Kazi Nazrul University,
Asansol 713340, WB, India.0000-0001-8707-6814Tapas KumarSamantaDepartment of Mathematics, Uluberia College,
Howrah 711315, WB, India0000-0001-8728-0356Journal Article20210606In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS). It is done by studying regular value, resolvent set, spectrum of a linear operator in IFPNLS. Also, some properties of spectrum and resolvent of strongly intuitionistic fuzzy bounded(IFB) linear operators in IFPNLS are being developed. It is observed that, for a linear operator $P$ in an IFPNLS, the resolvent set $rho(P)$ and spectrum $sigma(P)$ are nonempty, $rho(P)$ is open and $sigma(P)$ is closed set.