Characteristic for Novel Soft Type Quasinormal Operator Relies on Soft Hilbert Domain and Related Outcomes

Abstract

     The softness of the image Hilbert domain has a momentous role in the analytical characterizations of operators. Therefore, the elaborate study of these classes of soft operators (S-operators) and the comprehensive investigation of the algebraic and analytical traits of their softness Hilbert domains is of great importance. In Soft set Theory (SST), research in this specialty is of great importance. The prime effort of this article is application of novel kinds of general normal S-operator in SST, named as soft quasi normal operator. The crucial characteristic of the proposed operator is explained, including its major merits. Furthermore, the necessary stipulations are also discussed to verify the various merits of the proposed operator.