Document Type : Research Paper
Authors
- Bivas Dinda ^{} ^{} ^{1}
- Santanu Kumar Ghosh ^{} ^{2}
- Tapas Kumar Samanta ^{} ^{3}
^{1} Department of Mathematics, Mahishamuri Ramkrishna Vidyapith, Howrah 711401, WB, India and Department of Mathematics, Kazi Nazrul University, Asansol 713340, WB, India
^{2} Department of Mathematics, Kazi Nazrul University, Asansol 713340, WB, India.
^{3} Department of Mathematics, Uluberia College, Howrah 711315, WB, India
Abstract
In 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.
Keywords
[14] R. Saadati and J.H. Park, On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 (2006), pp. 331-344.