​​​​​​​February 2020, Vol. 5, No. 2, pp. 40-44. 

​​​Properties of Norm-attainable Classes and Applications to Signal Processing

Benard Okelo, Judith J. E. J Ogal
School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of Science and Technology, P. O. Box 210-40601, Bondo-Kenya.

​​​*Corresponding author’s e-mail: bnyaare@yahoo.com

​Abstract

​Properties of elementary operators have been studied over a long period of time. Such properties include norms, spectrum, positivity, numerical ranges among others. Characterization of elementary operators has been given considerations in different classes. In the present work authors give norm properties of elementary operators in norm-attainable classes. Moreover, we give applications to signal processing.

Keywords: Elementary operators; Norm-attainable classes; Spectrum; Signal Processing.

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International Journal of Modern Science and Technology

INDEXED IN 

ISSN 2456-0235