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https://repository.seku.ac.ke/handle/123456789/6012| Title: | Remarks on Essential Maximal Numerical Range of Aluthge Transform |
| Authors: | Sakwa, Cyprian O. Chikamai, L. Aywa, S. |
| Keywords: | Aluthge Transform T Hilbert Space Joint Maximal Numerical Range of T Maximal Numerical Range of T |
| Issue Date: | 2019 |
| Publisher: | SciPress |
| Citation: | International Journal of Pure Mathematical Sciences, Vol. 20, pp 1-5 |
| 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. |
| Description: | DOI: https://doi.org/10.18052/www.scipress.com/IJPMS.20.1 |
| URI: | http://repository.seku.ac.ke/handle/123456789/6012 |
| ISSN: | 2297-6205 https://www.scipress.com/IJPMS.20.1.pdf |
| Appears in Collections: | School of Science and Computing (JA) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Cyprian_Remarks on Essential Maximal Numerical Range of Aluthge Transform.pdf | Fulltext | 247.4 kB | Adobe PDF |  View/Open |
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