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OCCURRENCE AND MANAGEMENT OF ALTERNARIA LEAF SPOT IN SPINACH USING EXTRACTS FROM GINGER AND TUMERIC PLANTS
(University of Eldoret, 2019)Spinach (Spinacia oleracea) is an economically important vegetable crop in Kenya cultivated by small-scale farmers for domestic consumption. Alternaria leaf spot caused by Alternaria alternata is one of the diseases of ... -
The Occurrence and Pathological Characterization of Rust Causing Fungi of Brachiaria Grass in Kenya
(African Journal of Education Science and Technology, 2019)Brachiaria grass is one of the most important grasses distributed throughout the tropics especially in Africa. The quality of forage yields and biomass of brachiaria is negatively affected by diseases among which leaf spot, ... -
ON ALMOST SIMILARITY AND SOME CLASSES OF OPERATORS IN HILBERT SPACES
(University of Eldoret, 2021)Similarity is a recent area of study on classes of operators in Hilbert spaces. The study of operators, under similarity and quasisimilarity concepts, motivated researchers to extend their research to almost similarity ... -
On almost similarity results on partial isometrics, 𝛉- operators and posinormal operators
(International Journal of Statistics and Applied Mathematics, 2021-06)It is pre-eminent that equality of spectra is realized when the two given operators are unitarily equivalent or similar but not when they are almost similar. Also, projections which are 𝛼-almost similar, demonstrate ... -
ON CLASSIFICATION OF PERMUTATIONS
(Asia Pac Journal, 2020-03)Some researchers in combinatorics have developed permutation algorithms using different approaches. We contribute to this area by developing a formula for generating permutations whereby, starting with an identity ... -
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 ... -
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 ...
