WEYL'S THEOREM AND ITS PERTURBATIONS FOR THE FUNCTIONS OF OPERATORS
被引:5
作者:
Cao, Xiaohong
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Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
Cao, Xiaohong
[1
]
Dong, Jiong
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Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
Dong, Jiong
[1
]
Liu, Junhui
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Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
Liu, Junhui
[1
]
机构:
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
In this paper, we study the stability of Weyl's theorem under compact perturbations, and characterize those operators satisfying that the stability of Weyl's theorem does not hold for any integer powers of the operator.
机构:
Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
Dong, Jiong
Cao, Xiao Hong
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Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
Cao, Xiao Hong
Dai, Lei
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机构:
Weinan Normal Univ, Coll Math & Phys, Weinan 714000, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
机构:
Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Shi, Weijuan
Cao, Xiaohong
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机构:
Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
机构:
Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
机构:
Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China