Invertible Operators on Soft Normed Spaces

Sabah  Aboud; Buthaina  Abdul Hassan

doi:10.24996/ijs.2020.61.5.17

Authors

Sabah Aboud Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Buthaina Abdul Hassan Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.5.17

Keywords:

Soft linear operator, invertible soft operator, spectrum of soft operator, eigenvalue of soft operator, eigenvector of soft operator

Abstract

Despite ample research on soft linear spaces, there are many other concepts that can be studied. We introduced in this paper several new concepts related to the soft operators, such as the invertible operator. We investigated some properties of this kind of operators and defined the spectrum of soft linear operator along with a number of concepts related with this definition; the concepts of eigenvalue, eigenvector, eigenspace are defined. Finally the spectrum of the soft linear operator was divided into three disjoint parts.