Spectrum of Class[inline-graphic not available: see fulltext] Operators

This paper discusses some spectral properties of class[inline-graphic not available: see fulltext] operators for[inline-graphic not available: see fulltext],[inline-graphic not available: see fulltext],[inline-graphic not available: see fulltext], and[inline-graphic not available: see fulltext]. It is shown that if[inline-graphic not available: see fulltext] is a class[inline-graphic not available: see fulltext] operator, then the Riesz idempotent[inline-graphic not available: see fulltext] of[inline-graphic not available: see fulltext] with respect to each nonzero isolated point spectrum[inline-graphic not available: see fulltext] is selfadjoint and[inline-graphic not available: see fulltext]. Afterwards, we prove that every class[inline-graphic not available: see fulltext] operator has SVEP and property[inline-graphic not available: see fulltext], and Weyl's theorem holds for[inline-graphic not available: see fulltext] when[inline-graphic not available: see fulltext].