Browsing by Author "Jacob, Kirimi"

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    Norm- Attainability of Generalized Finite Operators on C*- Algebra
    (Modern Scientific Press Company, 2022) Sule, Amenya C.; Sammy, Musundi W.; Jacob, Kirimi
    Norm -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.