Skew symmetric normal operators
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- by Chun Guang Li and Sen Zhu PDF
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Abstract:
An operator $T$ on a complex Hilbert space $\mathcal {H}$ is said to be skew symmetric if there exists a conjugate-linear, isometric involution $C:\mathcal {H}\longrightarrow \mathcal {H}$ so that $CTC=-T^*$. In this paper, we shall give two structure theorems for skew symmetric normal operators.References
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Additional Information
- Chun Guang Li
- Affiliation: Institute of Mathematics, Jilin University, Changchun 130012, People’s Republic of China
- Email: licg09@mails.jlu.edu.cn
- Sen Zhu
- Affiliation: Department of Mathematics, Jilin University, Changchun 130012, People’s Republic of China
- Address at time of publication: School of Mathematical Sciences, Fudan University, 220 Handan Road, Shanghai 200433, People’s Republic of China
- Email: zhusen@jlu.edu.cn
- Received by editor(s): September 17, 2011
- Received by editor(s) in revised form: October 30, 2011
- Published electronically: April 8, 2013
- Additional Notes: This work was supported by NNSF of China (11101177, 10971079, 11271150), China Postdoctoral Science Foundation (2011M500064, 2012T50392), Shanghai Postdoctoral Scientific Program (12R21410500), and Science Foundation for Young Teachers of Northeast Normal University (12QNJJ001)
The authors wish to thank the editor and the referee for many helpful comments and suggestions which greatly improved the manuscript - Communicated by: Marius Junge
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 2755-2762
- MSC (2010): Primary 47B25, 47B15; Secondary 47A65
- DOI: https://doi.org/10.1090/S0002-9939-2013-11759-4
- MathSciNet review: 3056565