On some intuitionistic fuzzy hyponormal operators

Abstract

Using the definition of Intuitionistic Fuzzy Hyponormal (IFHN) operator, i.e. S ∈ IFB(H) is an IFHN-operator if P µ,ν (S * x, u) ≤ P µ,ν (Sx, u), ∀x ∈ H or equivalently S * S−SS * ≥ 0, we investigate certain properties of IFHN-operators on an IFH-space. The definition of intuitionistic fuzzy class (N) of operators and some spectral properties are introduced. Also, a few theorems are discussed in detail.