Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 27195, 10 pages
Spectrum of Class Operators
LMIB and Department of Mathematics, Beihang University, Beijing 100083, China
Received 23 November 2006; Accepted 16 May 2007
Academic Editor: Jozsef Szabados
Dedicated to Professor Daoxing Xia on his 77th birthday with respect and affection
Copyright © 2007 Jiangtao Yuan and Zongsheng Gao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper discusses some spectral properties of class operators for , , , and . It is shown that if is a class operator, then the Riesz idempotent of with respect to each nonzero isolated point spectrum is selfadjoint and . Afterwards, we prove that every class operator has SVEP and property , and Weyl's theorem holds for when .