On Essential Numerical Range and Davis-Wielandt Shell of Hilbert Space Operators
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064

Research Paper | Mathematics | Kenya | Volume 8 Issue 1, January 2019

On Essential Numerical Range and Davis-Wielandt Shell of Hilbert Space Operators

D. O. Owego, N. B. Okelo, Omolo Ongati

Let the numerical range of the operator T be denoted by W (T), the essential numerical range by We (T) and the Davis-Wielandt shell by DW (T). We discuss the equality of the essential numerical range and the numerical range of the operator T in a complex infinite dimensional Hilbert space H. The results obtained are used to study the instance when the essential numerical range can replace the numerical range in the Davis-Wielandt shell.

Keywords: Numerical range, Essential numerical range, Davis-Wielandt shell

Edition: Volume 8 Issue 1, January 2019

Pages: 836 - 838

Share this Article

How to Cite this Article?

D. O. Owego, N. B. Okelo, Omolo Ongati, "On Essential Numerical Range and Davis-Wielandt Shell of Hilbert Space Operators", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20179883, Volume 8 Issue 1, January 2019, 836 - 838

138 PDF Views | 97 PDF Downloads

Download Article PDF



Similar Articles with Keyword 'Numerical range'

Research Paper, Mathematics, India, Volume 3 Issue 7, July 2014

Pages: 41 - 43

A Note on Finite Rank Quadratic Operators

B. Krishna Reddy, N. Gopal Reddy

Share this Article

Research Paper, Mathematics, Kenya, Volume 8 Issue 1, January 2019

Pages: 836 - 838

On Essential Numerical Range and Davis-Wielandt Shell of Hilbert Space Operators

D. O. Owego, N. B. Okelo, Omolo Ongati

Share this Article

Research Paper, Mathematics, Mongolia, Volume 7 Issue 7, July 2018

Pages: 728 - 730

The Numerical Range for z1V+a2V*

D. Tsedenbayar, L. Khadkhuu

Share this Article
Top