Abstract
It is shown that if the singular values of a compact operator T are dominated by those of the real part of T, then T must be self-adjoint. This improves an earlier result of Fong and Tsui. Some remarks on singular value inequalities associated with the Cartesian decomposition of a compact operator are also given.
*This research was supported by Kuwait University Research Administration project No. RMU 173
*This research was supported by Kuwait University Research Administration project No. RMU 173
Notes
*This research was supported by Kuwait University Research Administration project No. RMU 173