Certain Properties Involving the Joint Essential Numerical Ranges
Asian Research Journal of Mathematics · pp. 1–7 · Published 21 Feb 2020
10.9734/arjom/2020/v16i330176Abstract
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.
Cited by 1
O. S. Cyprian · Journal of Advances in Mathematics and Computer Science · 2021
Related research
- Results on the Joint Essential Maximal Numerical Ranges — shares topic coverage
- Properties and Characterizations of Norm-Attainable Operators in Compact and Self-Adjoint Settings — shares topic coverage
- On Relation between the Joint Essential Spectrum and the Joint Essential Numerical Range of Aluthge Transform — shares topic coverage
Article metrics
Real usage data collected on this platform.
19
Page views
0
PDF downloads
0
Outbound clicks
1
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.