Musundi, Sammy Wabomba2020-10-052020-10-052005-01Journal of Science Technology Education and Management (J-STEM)https://hrcak.srce.hr/658http://repository.chuka.ac.ke/handle/chuka/1389For 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 0. ] Some known results on the $q$-numerical range are extended to this set.enArticle