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On Norm of Elementary Operator of Length Two
(International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 2017-06)Norms of elementary operators have been studied by many mathematicians. Varied results have been gotten using different approaches. In this paper we use maximal numerical range to express the norm of an elementary operator ... -
On Norm of Elementary Operator: An Application of Stampfli’s Maximal Numerical Range
(Pure and Applied Mathematics Journal, 2018-03)Many researchers in operator theory have attempted to determine the relationship between the norm of an elementary operator of finite length and the norms of its coefficient operators. Various results have been obtained ... -
ON NUMERICAL RANGE OF SOME CLASSES OF OPERATORS IN HILBERT SPACES
(University of Eldoret, 2021)The numerical range of operators in Hilbert spaces has been researched by several authors. The properties of the numerical range play an important role in identifying the behaviour of operators in Hilbert spaces. It ... -
ON THE NORM OF AN ELEMENTARY OPERATOR OF FINITE LENGTH IN A 𝑪∗ALGEBRA
(Journal of Progressive Research in Mathematics(JPRM), 2018)Properties of elementary operators have been studied over the past years especially the norm aspect. Various results have been obtained on elementary operatorsof different lengths using different approaches. ... -
On the Norm of Basic Elementary Operator in a Tensor Product
(International Journal of Scientific and Innovative Mathematical Research., 2019)In this paper, we determine the norm of an elementary operator in a tensor product. More precisely, we investigate the bounds of the norm of a basic elementary operator in a tensor product. We employ the techniques of ... -
On the Norm of Elementary Operator
(Advances in Pure Mathematics, 2014)The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators -
On the Norm of Elementary Operator
(Advances in Pure Mathematics, 2014-07)The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators. -
On The Norm of Finite Length Elementary Operator in Tensor Product of C*-Algebras
(International Journal of Mathematics and Computer Research, 2024-01)Many properties of Elementary operators, including spectrum, numerical ranges, compactness, rank, and norm have been studied in depth and some results have been obtained. However, little has been done in determining the ... -
ON THE NORM OF JORDAN ELEMENTARY OPERATOR IN TENSOR PRODUCT OF C*-ALGEBRAS
(|INT Journal of Mathematics, 2024-06)The norm property of different types of Elementary operators has attracted a lot of researchers due to its wide range applications in functional analysis. From available literature the norm of Jordan elementary operator ... -
On the Numerical Ranges
(International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 2015-08)Properties of operators in a C*-algebra B(H) have been studied by many researchers in operator theory. This paper is an investigation of the numerical ranges of operators in B(H) . We show that zero is in the algebraic ... -
On Unitary Invariance of Some Classes of Operators in Hilbert Spaces
(Pure Mathematical Sciences, 2020)It is a known fact in operator theory that two similar operators have equal spectra but they do not necessarily have to belong to the same class of operators. However, under the stronger relation of unitary equivalence ... -
On-farm growth performance of different strains of tilapia, Oreochromis niloticus reared in earthen ponds
(Aquaculture, fish and fisheries, 2023)The growth of aquaculture sector in Kenya has been anchored on farmed Nile tilapia Oreochromis niloticus. Different strains of the species exist in Kenya with unknown qual- ity due to lack of stock improvement programmes ... -
On-Site Runoff Management, Challenges and Prospects in Amalemba, an Urban Informal Settlement in Kakamega Municipality, Kakamega County, Kenya
(African Environmental Review Journal, 2022-06)This study investigated the challenges and prospects of on-site runoff management in Amalemba informal urban settlement in Kakamega Municipality, Kenya. The study followed a qualitative research design. Visual observations, ... -
OPTICAL AND STRUCTURAL STUDIES OF ANODIC COPPER PIGMENTED TITANIUM PHOTOCATALYST
(University of Eldoret, 2020)Thousands of lives have been lost worldwide due to the shortage of clean water resources caused by waste water disposal challenges from manufacturing and processing industries, population growth and long-term droughts. ... -
OPTICAL NOISE PERFORMANCE IN SMF-REACH AND SMF-REDUCED SLOPE FOR RAMAN FIBRE AMPLIFICATION USING DIFFERENT PUMPING TECHNIQUES
(2016-05-19)Signal amplification in optical fibres during transmission has become one of the techniques in improving capacity and reach in telecommunication networks. Fibre Raman amplifiers (FRAs) are currently being adopted in many ... -
OPTICAL SIGNAL TRANSMISSION IN NEW GENERATION FIBRES USING ADVANCED MODULATION FORMATS AND VCSEL TRANSMITER
(University of Eldoret, 2021)In the current society, the data transmitted using the internet is tremendous and has been occasioned by the rapid broadening of communication infrastructure. The use of traditional NRZ format is becoming less applicable ... -
OPTIMAL DESIGN FOR SECOND-DEGREE KRONECKER MODEL MIXTURE EXPERIMENTS FOR MAXIMAL PARAMETER SUBSYSTEM
(University of Eldoret, 2014)Products in many disciplines frequently involve blending two or more ingredients together. The design factors in a mixture experiment are the proportions of the components of a blend, and the response variables vary ... -
Optimal Kiefer Ordering of Simplex Designs for Third-Degree Mixture Kronecker-Models with three ingredients.
(Mathematical Theory and Modeling, 2019)This paper investigates the Kiefer optimality in the third-degree Kronecker model for mixture experiments. For mixture models on the simplex, a better design is obtained, by matrix majorization that yields a larger ... -
Optimisation of plutonium separations using TEVA cartridges and ICP-MS/MS analysis for applicability to large-scale studies in tropical soils
(The Royal Society of Chemistry, 2023-08)The analysis of plutonium (Pu) in soil samples can inform the understanding of soil erosion processes globally. However, there are specific challenges associated for analysis in tropical soils and so an optimal analytical ... -
OPTIMISING A RESTING BOX TO ENHANCE ADULT GRAVID FEMALE MOSQUITOE AUTO-DISSEMINATE LARVICIDE IN A SEMI FIELD
(2018)Malaria control strategies that target adult mosquitoes are challenged by the emergence of insecticide resistance and behavioral changes of vectors. The conventional approach of applying larvicides is limited by high ...