TY - JOUR
ID - 248115
TI - An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Dinda, Bivas
AU - Ghosh, Santanu Kumar
AU - Samanta, Tapas Kumar
AD - Department of Mathematics, Mahishamuri Ramkrishna Vidyapith,
Howrah 711401, WB, India and Department of Mathematics, Kazi Nazrul University,
Asansol 713340, WB, India
AD - Department of Mathematics, Kazi Nazrul University,
Asansol 713340, WB, India.
AD - Department of Mathematics, Uluberia College,
Howrah 711315, WB, India
Y1 - 2022
PY - 2022
VL - 19
IS - 1
SP - 1
EP - 13
KW - Intuitionistic fuzzy pseudo norm
KW - Resolvent
KW - Spectrum
KW - Strongly intuitionistic fuzzy bounded linear operator
KW - Pseudo norm
DO - 10.22130/scma.2021.531698.942
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_248115.html
L1 - https://scma.maragheh.ac.ir/article_248115_9c4220c7962c7545aa03eac8c587c77f.pdf
ER -