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The Generalized West Decomposition of Operators and Other Compact Perturbation Problems

The Generalized West Decomposition of Operators and Other Compact Perturbation Problems
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摘要 This paper introduces the concept of the generalized Riesz operators and the concept of the generalized West decomposition of a general operator which generalizes the definition of the West decomposition of Riesz operators, and proves that the following three statements are equivalent on a general Banach space: (a) Every generalized Riesz operator has the generalized West decomposition; (b) Every operator makes strong Stampfli theorem true; Every operator has Apostol's compact correction. This paper introduces the concept of the generalized Riesz operators and the concept of the generalized West decomposition of a general operator which generalizes the definition of the West decomposition of Riesz operators, and proves that the following three statements are equivalent on a general Banach space: (a) Every generalized Riesz operator has the generalized West decomposition; (b) Every operator makes strong Stampfli theorem true; Every operator has Apostol's compact correction.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第2期515-522,共8页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China (10471025) National Science Foundation of Fujian Province (Z0511019) Foundation of the Education Department of Fujian Province (JA04170)
关键词 correction Banach space generalized Riesz operator generalized West decomposition compact correction Banach space, generalized Riesz operator, generalized West decomposition, compact
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参考文献9

  • 1West, T. T.: Tile decomposition of Riesz operators. Proc. London Math. Soc., 6, 737-752 (1966).
  • 2Stampfli, J,: Compact perturbations, normal eigenvalues and a problem of Salinas. J. London M. S., 9,165-175 (1974).
  • 3Apostol, C.: The correction by compact perturbation of the singular behavior of operators, Rev. Roumanian Math. Pure Appl., 21, 155 175 (1976).
  • 4Zhong, H. J.: B-convex space and the West decomposition of Riesz operators on it. Acta Mathematica Sinica, Chinese Series, 37, 563-569 (1994).
  • 5Zhong, H. J.: Tsirelson space and the West decomposition of Riesz operators on it. Science in China,A26(4), 322-327 (1996).
  • 6Davidson, K. R., Herrero, D. A.: Decomposition of Banach space operator. Indiana Univ. Math. Soc., 85,333-343 (1986).
  • 7Laurie, C., Radjavi, H.: On the West decomposition of Riesz operators. Bull. London M. S., 18, 130-132(1986).
  • 8Kato, T,: Perturbation theory for linear operators, Springer-Verlag, New York, 1984.
  • 9Caradus, S., Pfaffenberger, W., Yood, W.: Calkin algebras and algebras of operators on Banach spaces,Marel Dekker INC., New York, 1974.

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