Some Results on (N, k)-Hyponormal Operators
Nidaa Muraeh Atheab, Salim Dawood Mohsen
Abstract
Abstract In this paper, we introduce a new generalization for hyponormal operators which is (N, k)-hyponormal operators, also we study some properties of these operators. In addition, we given the solvability of the λ- commuting operator equation ST = λTS, where λ ∈ ℂ, and S, T are bounded (N, k)- hyponormal operators.
Topics & Concepts
Operator theoryGeneralizationMathematicsOperator (biology)Quasinormal operatorBounded functionOperator normPure mathematicsFinite-rank operatorDiscrete mathematicsAlgebra over a fieldMathematical analysisChemistryBanach spaceTranscription factorBiochemistryRepressorGeneFixed Point Theorems AnalysisHolomorphic and Operator TheoryAnalytic and geometric function theory