The Properties of the Spectrals of Fuzzy Compact Linear Operators

Zainab A. Khudhair

Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology Baghdad, Iraq

Email: zainab1989@uomustansiriyah.edu.iq

Abstract

The objective of this paper is to present a novel approach for the a-fuzzy standardized area and its fundamental characteristics with basic attributes of fuzzy compact and fuzzy bounded linear functions. Also, it presents some of the basic attributes of the spectral of fuzzy compact linear functions in terms of theorems that clearly draw the elementary properties of these functions and the mathematical relationships between them.

Keywords: Fuzzy Standardized Spaces; Compactness; Bounded Operators; Complete Spaces; Linear Operators