Bounds for total antieigenvalue of a normal operator
Sk. M. Hossein,1K. C. Das,2L. Debnath,3and K. Paul4
Received12 Jan 2004
Revised22 Mar 2004
Abstract
We give an alternative proof of a theorem of Gustafson and
Seddighin (1993) following the idea used by Das et al. in an earlier study of antieigenvectors
(1998). The result proved here holds for certain
classes of normal operators even if the space is infinite
dimensional.