Sule, A. C.Musundi, S. W.Kinyanjui, J. M.2024-03-082024-03-082022Sule, A. C., Musundi, S. W., & Kinyanjui., J. M. (2022). Norm attainability of generalized finite operators on C*-algebra. In: Isutsa, D. K. (Ed.). Proceedings of the 8th International Research Conference held in Chuka University from 7th to 8th October, 2021, Chuka, Kenya, p.551-553http://repository.chuka.ac.ke/handle/chuka/16068amenyacollo@gmail.com, swmusundi@chuka.ac.keNorm attainability of elementary operators on Hilbert and Banach spaces has been characterized before. However, there is little information on Norm attainability of generalized finite operators on C*-algebra. This paper reports the norm attainability of generalized finite operators on C*-algebra. The approach of Okello 2018 has been used to determine norm attainability. Given two pairs of norm attainable operators A, B, implementing the generalized finite operators|| AX - XB - I || >_ 1 , it then follows that the generalized finite operator is also norm attainable.enBanach spacesComplex Hilbert SpaceNorm attainableArticle