Asian Research Journal of Mathematics http://journalarjom.com/index.php/ARJOM <p style="text-align: justify;"><strong>Asian Research Journal of Mathematics (ISSN: 2456-477X)</strong> aims to publish high-quality papers (<a href="/index.php/ARJOM/general-guideline-for-authors">Click here for Types of paper</a>) in all areas of ‘Mathematics and Computer Science’. By not excluding papers on the basis of novelty, this journal facilitates the research and wishes to publish papers as long as they are technically correct and scientifically motivated. The journal also encourages the submission of useful reports of negative results. This is a quality controlled, OPEN peer-reviewed, open access INTERNATIONAL journal.</p> en-US contact@journalarjom.com (Asian Research Journal of Mathematics) contact@journalarjom.com (Asian Research Journal of Mathematics) Fri, 21 Feb 2020 11:46:30 +0000 OJS 3.1.1.4 http://blogs.law.harvard.edu/tech/rss 60 Certain Properties Involving the Joint Essential Numerical Ranges http://journalarjom.com/index.php/ARJOM/article/view/30176 <p>The concept of essential numerical range of an operator was dened and studied by Stamp i and Williams in 1972. Researchers generalised this idea of essential numerical range to a group of operators to the joint essential numerical range. In this paper, we consider the jointessential numerical range and show that the properties of the classical numerical range such as compactness also hold for the joint essential numerical range. Further, we show that the joint essential spectrum is contained in the joint essential numerical range by looking at the boundary of the joint essential spectrum.</p> O. S. Cyprian ##submission.copyrightStatement## http://journalarjom.com/index.php/ARJOM/article/view/30176 Fri, 21 Feb 2020 00:00:00 +0000