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On the Cellular Indecomposable Property of Semi-Fredholm Operators

On the Cellular Indecomposable Property of Semi-Fredholm Operators
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摘要 The authors prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain, by applying the 4 x 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第6期903-908,共6页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China(No.11101312) the National Science Foundation(No.0801174)
关键词 Cellular indecomposable property Semi-Fredholm operator Singular point 半Fredholm算子 不可分解 算子对 性质 细胞 矩阵模型 lm型 奇异点
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参考文献6

  • 1Apostol, C., Foias, C. and Voiculescu, D., Some results on non-quasitriangular operators IV, Rev. Roumaine Math. Pures Appl., 18, 1973, 487-514. 被引量:1
  • 2Fang, X., Samuel multiplicity and the structure of semi-Fredholm operators, Adv. Math., 186, 2004, 411- 437. 被引量:1
  • 3Olin, R. and Thomson, J., Cellular-indecomposable subnormal operators, Integral Equation Operator The- ory, 7, 1984, 392-430. 被引量:1
  • 4Olin, R. and Thomson, J., Cellular-indecomposable subnormal operators II, Integral Equation Operator Theory, 9, 1986, 600-609. 被引量:1
  • 5Olin, R. and Thomson, J., Cellular-indecomposable subnormal operators III, Integral Equation Operator Theory, 29, 1997, 116-121. 被引量:1
  • 6Pearcy, C., Some Recent Developments in Operator Theory, CBMS Series, Vol. 36, A. M. S., Providence, RI, 1975. 被引量:1

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