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DONG Jiong, CAO Xiao-hong, LIU Jun-hui. The relationship between SVEP and Weyl type theorem under small perturbations[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 111-118. doi: 10.3969/j.issn.1000-5641.2016.06.012
Citation:
DONG Jiong, CAO Xiao-hong, LIU Jun-hui. The relationship between SVEP and Weyl type theorem under small perturbations[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 111-118. doi: 10.3969/j.issn.1000-5641.2016.06.012
DONG Jiong, CAO Xiao-hong, LIU Jun-hui. The relationship between SVEP and Weyl type theorem under small perturbations[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 111-118. doi: 10.3969/j.issn.1000-5641.2016.06.012
Citation:
DONG Jiong, CAO Xiao-hong, LIU Jun-hui. The relationship between SVEP and Weyl type theorem under small perturbations[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 111-118. doi: 10.3969/j.issn.1000-5641.2016.06.012
Let H be an infinite dimensional separable complex Hilbert space and B(H) be the algebra of all bounded linear operators on H.T B(H) satisfies Weyls theorem if(T)\(T)=00(T), where (T) and(T) denote the spectrum and the Weyl spectrum of T respectively,00(T)={ iso(T): 0dim N(T-I)}. If(T)\(T) 00(T), T is called satisfying Browders theorem. In this paper, using the property of generalized Kato decomposition, we explore the relation between the single-valued extension property and Weyls theorem under small compact perturbations.
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