An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_SCMA-19-1_001

تاریخ نمایه سازی: 28 آبان 1401

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:

Intuitionistic fuzzy pseudo norm , Resolvent , Spectrum , Strongly intuitionistic fuzzy bounded linear operator , Pseudo norm

Authors

Bivas Dinda

Department of Mathematics, Mahishamuri Ramkrishna Vidyapith, Howrah ۷۱۱۴۰۱, WB, India and Department of Mathematics, Kazi Nazrul University, Asansol ۷۱۳۳۴۰, WB, India

Santanu Ghosh

Department of Mathematics, Kazi Nazrul University, Asansol ۷۱۳۳۴۰, WB, India.

Tapas Samanta

Department of Mathematics, Uluberia College, Howrah ۷۱۱۳۱۵, WB, India

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