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 …
Approximations of fixed points have been done in different space and classes. However, characterizations in normattainable classes remains interesting. This paper discusses …
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 …
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 …
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 …
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 The theory of norm-attaining operators was influenced Page 1 ISSN: 2832-4293 Pan-American …
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 …
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 …