Spectral properties of some operator matrices

Springer Science and Business Media LLC - Tập 80 - Trang 37-46 - 2003
Il Bong Jung1, Eungil Ko2, Carl Pearcy3
1Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea, e-mail: [email protected], , KR
2Department of Mathematics, Ewha Women's University, Seoul 120-750, Korea. E-mail: [email protected], , KR
3Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. E-mail: [email protected], , US

Tóm tắt

We study the classes of Jordan and n-normal operators, especially from the standpoint of spectral properties. We show that these classes have many of the good spectral properties of normal operators by showing this for a class of operators that contains both of the above-mentioned classes. We then obtain various consequences of our spectral results.