Spectrum of Class <graphic file='1029-242X-2007-027195-i1.gif'/> Operators

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&#39;s theorem holds for when .