8th International Research Conference of Chuka University,2021

Permanent URI for this collectionhttps://repository.chuka.ac.ke/handle/chuka/15997

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Browsing 8th International Research Conference of Chuka University,2021 by Subject "Complex Hilbert Space"

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    NORM ATTAINABILITY OF GENERALIZED FINITE OPERATORS ON C*-ALGEBRA
    (Chuka University, 2022) Sule, A. C.; Musundi, S. W.; Kinyanjui, J. M.
    Norm 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.