On Norm‐Attainable Operators in Banach Spaces

NB Okelo - Journal of function Spaces, 2020 - Wiley Online Library
Norm‐attainable operators have been studied over a period of time with nice results
obtained particularly in Hilbert spaces. In this work, we consider the Banach space setting by …

[PDF][PDF] On Orthogonality of Elementary Operators in Normed Spaces

M Orina, B Okelo, RK Obogi - Journal of Mathematical Analysis and …, 2023 - sabapub.com
On Orthogonality of Elementary Operators in Normed Spaces Page 1 Journal of
Mathematical Analysis and Modeling J Math Anal & Model jmam.sabapub.com (2023)4(1) …

[PDF][PDF] On orthogonal polynomials and normattainable operators in hilbert spaces

E Mogoi, B Okelo, O Ongati, W Kangogo - Int. J. Open Problems Compt …, 2023 - ijopcm.org
In this paper, we explore the intricate connection between orthogonal polynomials and norm
attainable operators within a Hilbert space. We give examples of this relationship by …

[PDF][PDF] Fixed Points Approximation for Non Expansive Operators in Hilbert Spaces

NB Okelo - 2021 - emis.de
Approximations of fixed points have been done in different space and classes. However,
characterizations in normattainable classes remains interesting. This paper discusses …

A Note on the Chebyshev Set Problem in Normed Linear Spaces

S Owiti, B Okelo, J Owino - arXiv preprint arXiv:2302.03000, 2023 - arxiv.org
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 greatest …

[PDF][PDF] Maximal Chain Properties for Mappings in Bitopological Spaces

B Okelo - Int. J. Open Problems Compt. Math, 2022 - ijopcm.org
The fundamental mathematical problem that remains unsolved is the generalization of
maximality chain conditions for chains of homomorphisms in topological spaces. We give …

Various notions of norm-attainability in normed spaces

B Okelo - arXiv preprint arXiv:2004.05496, 2020 - arxiv.org
Let $ H $ be a reflexive, dense, separable, infinite dimensional complex Hilbert space and
let $ B (H) $ be the algebra of all bounded linear operators on $ H $. In this paper, we carry …

On Norm Estimates for Derivations in Norm-Attainable Classes

JZ Nyabonyi, NB Okelo, RK Obogi - European Journal of Mathematical …, 2023 - adac.ee
In this note, we provide detailed characterization of operators in terms of norm-attainability
and norm estimates in Banach algebras. In particular, we establish the necessary and …

Orthogonality Of Finite Operators In Normed Spaces

O Moraa - 2022 - repository.kisiiuniversity.ac.ke
Orthogonality of operators in Hilbert spaces is a notion that has been studied for a duration
of some time by many mathematicians such as Oleche, Okelo, Agure and many others …

[PDF][PDF] On Fixed Point Properties for Nonexpansive Norm-attainable Mappings in Fuzzy Skorohod Spaces.

B Okelo - International Journal of Open Problems in Computer …, 2022 - ijopcm.org
The intricate nature of the underlying structures in Skorohod spaces presents a complex
problem when studying fixed point theorems. This paper presents certain fixed point …