Results on the Joint Essential Maximal Numerical Ranges
O. S. Cyprian *
Department of Mathematics, South Eastern Kenya University, P.O.Box 170-90200, Kitui, Kenya.
*Author to whom correspondence should be addressed.
Abstract
In the present paper, we show the equivalent denitions of the joint essential maximal numerical range. In the current paper, we show that the properties of the classical numerical range such as compactness also hold for the joint essential maximal numerical range. Further, we show that the joint essential maximal numerical range is contained in the joint maximal numerical range.
Keywords: Numerical range, essential maximal numerical range, maximal numerical range.