On the cellular indecomposable property of semi-Fredholm operators

Guozheng Cheng , Xiang Fang

Chinese Annals of Mathematics, Series B ›› 2012, Vol. 33 ›› Issue (6) : 903 -908.

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Chinese Annals of Mathematics, Series B ›› 2012, Vol. 33 ›› Issue (6) : 903 -908. DOI: 10.1007/s11401-012-0744-x
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On the cellular indecomposable property of semi-Fredholm operators

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Abstract

The authors prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain, by applying the 4 × 4 matrix model of semi-Fredholm operators due to Fang in 2004. This result fills a gap in the result of Olin and Thomson in 1984.

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Cellular indecomposable property / Semi-Fredholm operator / Singular point

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Guozheng Cheng, Xiang Fang. On the cellular indecomposable property of semi-Fredholm operators. Chinese Annals of Mathematics, Series B, 2012, 33(6): 903-908 DOI:10.1007/s11401-012-0744-x

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Fang X.. Samuel multiplicity and the structure of semi-Fredholm operators. Adv. Math., 2004, 186: 411-437

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Olin R., Thomson J.. Cellular-indecomposable subnormal operators. Integral Equation Operator Theory, 1984, 7: 392-430

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Olin R., Thomson J.. Cellular-indecomposable subnormal operators II. Integral Equation Operator Theory, 1986, 9: 600-609

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