Sule, Amenya C.Sammy, Musundi W.Jacob, Kirimi2022-11-022022-11-0220222166-286Xhttp://repository.chuka.ac.ke/handle/chuka/15487Norm -attainability of elementary operators on Hilbert and Banach spaces have been Characterized by many mathematicians. However, there is little information on Normattainability of generalized finite operators on C*-algebra. A pair of bounded linear operators 𝐴, 𝐵 on a complex Hilbert space 𝐻 is called generalized finite operators if ||𝐴𝑋 − 𝑋𝐵 − 𝐼 || ≥ 1 for each 𝑥𝜖𝐵(𝐻). This paper therefore determines the norm attainability of these generalized finite operators on C*-algebra when implemented by norm attainable operators 𝐴, 𝐵.enGeneralized finite operatorsNorm attainabilityC*-algebraComplex Hilbert spaceArticle