Sule, A. C.Jacob, K.Sammy, M. W.2025-05-152025-05-152022Sule, A. C., Sammy, M. W., & Jacob, K. (2022). Norm-Attainability of Generalized Finite Operators on C*-Algebra. International Journal of Modern Mathematical Sciences, 20(1), 1-6.https://scholar.google.com/scholar?hl=en&as_sdt=0%2C5&q=Norm-+Attainability+of+Generalized+Finite+Operators+on+C*-+Algebra&btnG=#d=gs_cit&t=1747305014443&u=%2Fscholar%3Fq%3Dinfo%3AyMfx_jjPf_MJ%3Ascholar.google.com%2F%26output%3Dcite%26scirp%3D0%26hl%3Denhttps://repository.chuka.ac.ke/handle/123456789/18067Research ArticleNorm -attainability of elementary operators on Hilbert and Banach spaces have been Characterized by many mathematicians. However, there is little information on Norm- attainability 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