Browsing by Author "Sammy, M. W."

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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.
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    Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples
    (2021) Moses, M. K.; Nyaga, L. N.; Sammy, M. W.
    In this paper, we investigate some transitivity action properties of the cartesian product of the alternating group 𝐴𝑛(𝑛 ≥ 5) acting on a cartesian product of ordered sets of triples using the Orbit-Stabilizer Theorem by showing that the length of the orbit (𝑝, 𝑠, 𝑣) in 𝐴𝑛 × 𝐴𝑛 × 𝐴𝑛, (𝑛 ≥ 5) acting on 𝑃[3] × 𝑆[3] × 𝑉[3] is equivalent to the cardinality of 𝑃[3] × 𝑆[3] × 𝑉[3] to imply transitivity.