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 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 …

[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 …

On Numerical Ranges and Spectra of Norm Attaining Operators in C*-Algebras

S Omaoro, B Okelo, O Ongati - Pan-American Journal of Mathematics, 2023 - mathyze.com
ON NUMERICAL RANGES AND SPECTRA OF NORM ATTAINING OPERATORS IN C*-ALGEBRAS
The theory of norm-attaining operators was influenced Page 1 ISSN: 2832-4293 Pan-American …

On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes

B Okelo, F Odhiambo, J Oburu - Pan-American Journal of …, 2022 - mathyze.com
New sharp estimates for coefficients of pseudo-monoidal type polynomials are given for the
class of norm-attainable operators. Moreover, we show the existence of an equivalence …

[PDF][PDF] NORM ESTIMATES FOR OPERATORS IN NORM-ATTAINABLE C*-ALGEBRAS

S OMAORO, B OKELO, O ONGATI - Eur. J. Math. Appl, 2023 - ejma.euap.org
Norm estimates for various types of Banach algebra operators have been studied over
decades with interesting results obtained. However, it still remains an open problem to …