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.

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PDF(118 KB)
Front. Math. China ›› 2012, Vol. 7 ›› Issue (4) : 695-702. DOI: 10.1007/s11464-012-0207-4
RESEARCH ARTICLE
RESEARCH ARTICLE

Components of generalized Kato resolvent set and single-valued extension property

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Abstract

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.

Keywords

Banach space / generalized Kato decomposition / single-valued extension property

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Qiaofen JIANG, Huaijie ZHONG. Components of generalized Kato resolvent set and single-valued extension property. Front Math Chin, 2012, 7(4): 695‒702 https://doi.org/10.1007/s11464-012-0207-4

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