
Components of generalized Kato resolvent set and single-valued extension property
Qiaofen JIANG, Huaijie ZHONG
Front. Math. China ›› 2012, Vol. 7 ›› Issue (4) : 695-702.
Components of generalized Kato resolvent set and single-valued extension property
In this paper, we use the constancy of certain subspace valued mappings on the components of the generalized Kato resolvent set and the equivalences of the single-valued extension property at a point 0 for operators which admit a generalized Kato decomposition to obtain a classification of the components of the generalized Kato resolvent set of operators. We also give some applications of these results.
Banach space / generalized Kato decomposition / single-valued extension property
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