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Browsing by Author "Obogi, Robert Karieko"

Browsing by Author "Obogi, Robert Karieko"

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  • Certain Orthogonality Conditions for Finite Elementary Operators in Normed Spaces 
    Obogi, Robert Karieko (Functional Analysis, 2023-03-07)
    Let H be an in nite dimensional complex Hilbert space and B(H) be the space of all bounded linear operators on H. In this paper we give Certain Orthogonality Conditions for Finite Elementary Operators in Normed Spaces.
  • NORM ATTAINMENT FOR COMPACT OPERATORS ON REFLEXIVE BANACH SPACES 
    Obogi, Robert Karieko; Mogoi N, Evans (Annals of Mathematics and Computer Science, 2025)
    This paper explores the norm attainment of compact operators on reflexive Banach spaces, emphasizing the interplay between geometric and structural properties. Key results include characterizations of norm attainment through ...
  • On norms of derivations implemented by self-adjoint operators 
    Obogi, Robert Karieko (Open Journal of Mathematical Analysis, 2023-06-30)
    In this paper, we concentrate on norms of derivations implemented by self-adjoint operators. We determine the upper and lower norm estimates of derivations implemented by self-adjoint operators.The results show that the ...
  • On the Number of Cyclic Codes Over Z31 
    Ondiany, John Joseph O.; Obogi, Robert Karieko; Mude, Lao Hussein; Monari, Fred Nyamitago (Journal of Advances in Mathematics and Computer Science, 2024-07-10)
    Let n be a positive integer, yn 􀀀 1 cyclotomic polynomial and Zq be a given finite field. In this study we determined the number of cyclic codes over Z31. First, we partitioned the cyclotomic polynomial yn 􀀀1 using cyclotomic ...
  • Spectral Analysis of Nonlinear Operators: Theory and Applications to Neural Networks and Optimization 
    Obogi, Robert Karieko; Mogoi N, Evans (Archives of Current Research International, 2025)
    This paper presents a nonlinear spectral framework for analyzing monotone and nonexpansive operators in Banach and Hilbert spaces. We construct a nonlinear spectral resolution for maximal monotone operators using Yosida ...