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On p-ω-hyponormal Operators 被引量：3

On p-ω-hyponormal Operators
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摘要 In this paper, we show that if T is p-ω-hyponormal, the nonzero points of the approximate and joint approximate point spectrum of T are identical; Moreover, we obtain a pair of inequalities similar to p-ω-hyponormal operators. In this paper, we show that if T is p-ω-hyponormal, the nonzero points of the approximate and joint approximate point spectrum of T are identical; Moreover, we obtain a pair of inequalities similar to p-ω-hyponormal operators.
作者 YANGChang-sen LIHai-ying
机构地区 GollegeofMathematicsandInformationScience
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第1期79-84,共6页 数学季刊（英文版）
基金 Supported by the Education Foundation of Henan Province(2003110006)
关键词 p-ω-亚正规算子 FURUTA不等式 逼近点谱 非零点 复希尔伯特空间 Furuta inequality Lowner-Heinz inequality approximate point spectrum p-ω-hyponormal operators
分类号 O177.1 [理学—基础数学]
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参考文献12

  • 1ALUTHGE A. Some generalized theorems on p-hyponormal operators[J]. Integr Equ Oper Th, 1996, 24:497-501.
  • 2FUJII M, FURUTA T, KAMEI E. Furuta's inequality and its application to Ando's theorem[J]. Linear Algebra Appl, 1993, 179: 161-169.
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  • 9ALUTHGE A, On p-hyponormal operators[J]. Integr Equ Oper Th, 1990, 13: 307-315.
  • 10YANG Chang-sen, LI Haiying. A note on p - w-hyponormal operators(to appear Acta Mathematica Sina).

同被引文献29

  • 1ALUTHGE A. On p-hyponormal operators for 0 < p < 1[J]. Integr Equat Oper Th, 1990, 13: 307-315.
  • 2ALUTHGE A, WANG D. w-hyponormal operators[J]. Integr Equat Oper Th, 2000, 36: 1-10.
  • 3KIM M K, KO E. Some connections between an operator and its Aluthge transform[J]. Glasgow Math, 2005, 47: 167-175.
  • 4BISHOP E. A duality theorem for an arbitrary operator[J]. Pacific J Math, 1959, 9: 379-397.
  • 5KIMURA F. Analysis of non-hyponormal operators via Aluthge transformation[J]. Integr Equat Oper Th, 2004. 50: 375-384.
  • 6YANG Chang-sen, LI Hai-ying. Powers of an invertible p-w-hyponormal operators[J]. Acta Sci Math(Szeged), 2005, 71: 363-370.
  • 7YANG Chang-sen, LI Hai-ying. A note on p-w-hyponormal operators[J]. Joural of Henan Normal University(Nature Science), 2003, 31(4): 119.
  • 8TANSHASHI K. On log-hyponormal operators[J]. Integr Equat Oper Th, 1999, 34: 364-372.
  • 9PUTINAR M. Hyponormal operators are subscalar[J]. J Operator Theory, 1984, 12: 385-395.
  • 10DUGGAL B P. Quasi-similar p-hyponormal oparators[J]. Integr Equat Oper Th, 1996, 26: 338-345.

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Chinese Quarterly Journal of Mathematics
2005年 第1期

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