Now showing items 24-43 of 47

    • Norm Estimates for Norm-attainable Elementary Operators 

      Kinyanjui, J. N.; Okelo, N. B.; Ongati, O.; Musundi, S. W. (HIKARI ltd, 2018-03-20)
      In this paper we estimates the norms of norm-attainable elementary operators: inner derivations, generalized derivation, basic elementary operator and Jordan elementary operator.
    • Norm- Attainability of Generalized Finite Operators on C*- Algebra 

      Sule, Amenya C.; Sammy, Musundi W.; Jacob, Kirimi (Modern Scientific Press Company, 2022)
      Norm -attainability of elementary operators on Hilbert and Banach spaces have been Characterized by many mathematicians. However, there is little information on Normattainability of generalized finite operators on C*-algebra. ...
    • A note on quasi-similarity of operators in Hilbert spaces 

      Isaiah, N. Sitati 1; Musundi, Sammy W. 2*; Nzimbi, Bernard M. 3; Kikete, W. Dennis 3 (2015-01)
      In this paper we introduce the notion of Quasi-similarity of bounded linear operators in Hilbert Spaces. We do so by defining a quasi-affinity from one Hilbert Space H to K. Some results on quasi-affinities are also ...
    • A NOTE ON QUASI-SIMILARITY OF OPERATORS IN HILBERT SPACES 

      SAMMY W. MUSUNDI; ISAIAH N.SITATI; BERNARD M. NZIMBI; KIKETE W. DENNIS (International Journal of Mathematical Archive, 2015-07-23)
      In this paper we introduce the notion of Quasi-similarity of bounded linear operators in Hilbert Spaces. We do so by defining a quasi- affinity from one Hilbert Space H to K. Some results on quasi- affinities are also ...
    • On Almost Similarity and Metric Equivalence of operators. Accepted for publication 

      Nzimbi, B. M. 1; Luketero, S. W.1; Sitati, I. N. 2; Musundi, S.W. 3; Mwenda, E 3 (2016-06)
      In this paper, we investigate almost-similarity relation, metric equivalence and other relations of operators on Hilbert spaces. We characterize almost-similar, metrically equivalent operators. Roughly speaking, we consider ...
    • On Almost Similarity Operator Equivalence Relation 

      Musundi, S. Wabomba 1*; Sitati, N. Isaiah 2; Nzimbi, B. Mutuku 3; Murwayi, A. Wunani 4 (2013-06)
      We consider the almost similarity property which is a new class in operator theory and was first introduced by A. A. S. Jibril. We establish that almost similarity is an equivalence relation. Some results on almost similarity ...
    • On Analytical Approach to Semi-open/Semi-closed sets in Metric Spaces” 

      Musundi, Sammy Wabomba; Kinyili, Musyoka; Ohuru, Priscah Moraa (Science Publishing Group, 2017-03-03)
      The concept of open and closed sets has been extensively discussed on both metric and topological spaces. Various properties of these sets have been proved under the underlying spaces. However, scanty literature is available ...
    • On Characterization of u-ideals determined by sequences’’ 

      Matuya, wanyonyi john; Makila, Patrick; Simiyu, Achiles; Shem, Aywa; Musundi, Sammy (2013)
      The area of ideals is important in the study of Analysis, algebra, Geometry and Computer science. The various types of ideals have been studied, for example m ideals and h ideals. The m ideals defined on real Banach spaces ...
    • On Similarity and Quasisimilarity equivalence relations 

      Sitati, Isaiah Nalianya; Musundi, Sammy Wabomba; Nzimbi, Benard Mutuku; Kirimi, Jacob (2012-01)
      Similarity and unitary equivalence can be shown to be of equivalence relations. We discuss a result showing that two similar operators have equal spectra (i.e. point and approximate point spectrum). More ...
    • On the Banach Space Numerical Range for a Linear Operator ", 

      Ohuru, Priscah M.; Musundi, Sammy W. *; Ombaka, C. Ochieng (Modern Scientific Press Company, Florida, USA, 2019-03-25)
      The numerical range has been studied extensively in Hilbert spaces. Properties of the numerical range such as non-emptiness, containment of the spectrum and in particular, convexity have been proved and results have ...
    • On The Convexity of A Generalized q-Numerical Range’’ 

      Musundi, Sammy Wabomba (2005-01)
      For a given $q in kom$ with $|q| le 1$, we study the $C$-numerical range of a Hilbert space operator where $C$ is an operator of the form [ left( begin{array}{ccc} qI_n & sqrt{1-|q|^2}I_n \ 0_n & 0_n end{array} right) oplus ...
    • On The Norm of an Elementary Operator of Finite Length in A C*Algebra” 

      Kawira, Esther; Kingangi, Denis; Musundi, Sammy Wabomba (2018-08)
      Properties of elementary operators have been studied over the past years especially the norm aspect. Various results have been obtained on elementary operators of different lengths using different approaches. In this paper, ...
    • On the Norm of Basic Elementary Operator in a Tensor Product 

      Muiruri, Peter G; Kingangi, Denis; Musundi, Sammy Wabomba (2018-01)
      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 ...
    • PLS Generalized Linear Regression and Kernel Multilogit Algorithm (KMA) for Microarray Data Classification Problem 

      Wagala, Adolphus; González-Farías, Graciela; Ramos, Rogelio; Dalmau, Oscar (2020)
      This study involves the implentation of the extensions of the partial least squares generalized linear regression (PLSGLR) by combining it with logistic regression and linear discriminant analysis, to get a partial least ...
    • PLS Generalized Linear Regression and Kernel Multilogit Algorithm (KMA) for Microarray Data Classification Problem 

      Wagala, Adolphus; González-Farías, Graciela; Ramos, Rogelio (Revista Colombiana de Estadística - Applied Statistics, 2020)
      This study involves the implentation of the extensions of the partial least squares generalized linear regression (PLSGLR) by combining it with logistic regression and linear discriminant analysis, to get a partial least ...
    • Rapid, Economical and selective Compexometric Determination of Iron (III) in its synthetic alloys using 3 hydroxy-3- phynyl-1-(2,4,6-tribromophynyl) 

      Ochieng, Ombaka; Musundi, Sammy Wabomba; Gitonga, L. K .; Kibara, D. (2013-09)
      The present study describes a simple, selective, rapid and economical method for the determination of iron (III) in its synthetic alloys using 3-hydroxy -3- phenyl-1- (2,4,6- tribro mophenyl) triazene as ...
    • Singular Spectrum Analysis: An Application to Kenya’s Industrial Inputs Price Index 

      Kimutai, Emmanuel K.; Wagala, Adolphus; Muriithi, Dennis K. (Springer, 2022-01)
      Time series modelling and forecasting techniques serve as gauging tools to understand the time-related properties of a given time series and its future course. Most financial and economic time series data do not meet the ...
    • Singular Spectrum Analysis: An Application to Kenya’s Industrial Inputs Price Index 

      Kimutai, K. Emmanuel; Wagala, Adolphus; Muriithi, Dennis K. (EJ-MATH, European Journal of Mathematics and Statistics, 2021)
      Abstract —Time series modeling and forecasting techniques serve as gauging tools to understand the time-related properties of a given time series and its future course. Most financial and economic time series ...
    • Spectral Picture Of Almost Similar Operators 

      Muriithi, Eric Gitonga; Musundi, Sammy W.; Nzimbi, Bernard M. (Journal of Multidisciplinary Engineering Science and Technology (JMEST), 2022)
      Various results that relate to almost similarity and other classes of operators such as isometry, normal, unitary and compact operators have been extensively discussed. In this paper, we describe the spectral picture ...
    • Stability Analysis of the Modified Advection-Dispersion Model for Nitrate Leaching into Groundwater 

      Ochwach, Jimrise O.; Musundi, Sammy W.; Okong’o, Mark O. (2020)
      Nitrogen is a vital nutrient that enhances plant growth which has motivated the intensive use of nitrogen-based fertilizers to boost crop productivity. However, Pollution by nitrate is a globally growing problem due to the ...