Abstract:
This paper focuses on the properties of the essential maximal numerical range of Aluthge transform Te. For instance, among other results, we show that the essential maximal numerical range of Aluthge transform is nonempty and convex. Further, we prove that the essential maximal numerical range of Aluthge transform Te is contained in the essential maximal numerical range of T. This study is therefore an extention of the research on Aluthge transform which was begun by Aluthge in his study of p−hyponormal operators.
