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Spectrum of Class[inline-graphic not available: see fulltext] Operators
被引:0
|作者:
Jiangtao Yuan
Zongsheng Gao
机构:
[1] Beihang University,LMIB and Department of Mathematics
[2] Dedicated to Professor Daoxing Xia on his 77th birthday with respect and affection,undefined
关键词:
Spectral Property;
Class Operator;
Point Spectrum;
D O I:
10.1155/2007/27195
中图分类号:
学科分类号:
摘要:
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].
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