7 papers
A Note on the Chebyshev Set Problem in Normed Linear Spaces
Samson Owiti, Benard Okelo, Julia Owino
Best approximation (BA) is an interesting field in functional analysis that has attracted a lot of attention from many researchers for a very long period of time up-to-date. Of gre…
On Monopole Bundle Systems of Complex Hypermanifolds for Composition Operators
Benard Okelo, Jeffar Oburu
In this paper, we give new characterizations of monopole bundle systems of complex hypermanifolds in -dimensional spaces for certain classes of operators. In particular, we cons…
A Note on Approximations of Fixed Points for Nonexpansive Mappings in Norm-attainable Classes
Benard Okelo
Let be an infinite dimensional, reflexive, separable Hilbert space and the class of all norm-attainble operators on In this note, we study an implicit scheme for a…
Various notions of norm-attainability in normed spaces
Benard Okelo
Let be a reflexive, dense, separable, infinite dimensional complex Hilbert space and let be the algebra of all bounded linear operators on . In this paper, we carry o…
Norm Inequalities for Inner Product Type Integral Transformers
Benard Okelo
In this paper, we give a detailed survey on norm inequalities for inner product type integral transformers. We first consider unitarily invariant norms and operator valued function…
Characterization of Absolutely Norm Attaining Compact Hyponormal Operators
Benard Okelo
In this paper, we characterize absolute norm-attainability for compact hyponormal operators. We give necessary and sufficient conditions for a bounded linear compact hyponormal ope…
On Certain Conditions for Convex Optimization in Hilbert Spaces
Benard Okelo
In this paper convex optimization techniques are employed for convex optimization problems in infinite dimensional Hilbert spaces. A first order optimality condition is given. Let…