Spectral properties of some operator matrices

Il Bong Jung; Eungil Ko; Carl Pearcy

doi:10.1007/s000130300004

Spectral properties of some operator matrices

Il Bong Jung, Eungil Ko, Carl Pearcy

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	37-46
Number of pages	10
Journal	Archiv der Mathematik
Volume	80
Issue number	1
DOIs	https://doi.org/10.1007/s000130300004
State	Published - 1 Jan 2003

Bibliographical note

Funding Information:
Acknowledgement. The first author was supported by KOSEF 2000-1-10100-002-3. The second author was supported by KOSEF, under grant No. 971-0102-007-2, 1997-99. The third author appreciates the support of the National Science Foundation during the past thirty-six years.

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10.1007/s000130300004

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abstract = "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.",

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note = "Funding Information: Acknowledgement. The first author was supported by KOSEF 2000-1-10100-002-3. The second author was supported by KOSEF, under grant No. 971-0102-007-2, 1997-99. The third author appreciates the support of the National Science Foundation during the past thirty-six years.",

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AB - 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.

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Spectral properties of some operator matrices

Abstract

Bibliographical note

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