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LOCAL SPECTRA OF UNILATERAL OPERATOR WEIGHTED SHIFTS

LOCAL SPECTRA OF UNILATERAL OPERATOR WEIGHTED SHIFTS
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摘要 In this note, the local spectral properties of unilateral operator weighted shifts are studied. In this note, the local spectral properties of unilateral operator weighted shifts are studied.
作者 A.BOURHIM
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第3期369-382,共14页 数学年刊(B辑英文版)
基金 Project supported by the Associateship Scheme of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
关键词 局部范围 光谱 代数学 有界线性算子 希耳伯特空间 Operator weighted shifts Local spectrum Single-valued extension property Dunford's condition(C) Bishop's property (β)
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  • 1Shields A L.Weighted shift operators and analytic function theory[].Math Surveys Amer Math Soc.1974
  • 2Pearcy, C. M,and Petrovic, S.On polynomially bounded weighted shifts[].Houston Journal of Mathematics.1994
  • 3Herrero D A.Approximation of Hilbert Space Operators[].Pitman Res Notes Math Longman Harlow Essex.1990
  • 4A. L. Lambert.Unitary equivalence and reducibility of invertibly weighted shifts[].Bulletin of Australlian Mathematical Society.1971
  • 5C.L.Jiang.Similarity,reducibility,and approximation of Cowen-Douglas operators[].Journal of Operator Theory.1994
  • 6R.Gellar.Operators commuting with a weighted shift[].Proceedings of the American Mathematical Society.1969
  • 7孙善利.加权移位算子的谱图形、本质正规性及其本质等价[J].辽宁大学学报(自然科学版),1987,14(1):1-7. 被引量:2

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