Invertible operators on soft normed spaces

Abstract EN

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.