Browsing by Author "Sule, A. C."

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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.
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    Norm- Attainability of Generalized Finite Operators on C*- Algebra
    (Modern Scientific Press, 2022) Sule, A. C.; Jacob, K.; Sammy, M. W.
    Norm -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.