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The Spectrum of Positive Operators on Hilbert Lattices

The Spectrum of Positive Operators on Hilbert Lattices
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摘要 Some spectral characterizations of positive operators on Hilbert lattices are presented. The application of these results can yield some equivalent relations of an irreducible positive operator. Some related results for positive operators on Hilbert lattice are also obtained.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期52-56,共5页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China(19771056,10571113)
关键词 Hilbert lattice positive operator IDEAL IRREDUCIBLE OPERATOR 希耳伯特格 正算子 理想 谱分析
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参考文献3

  • 1ZAANEN A C. Introduction to Operator Theory in Riesz Spaces[M]. New York: Springe-Verlag, 1996.
  • 2SCHAEFER H H. Banach Lattices and Positive Operators[M]. New York: Springe-Verlag, 1974.
  • 3陈滋利.Banach格上正则算子格[J].数学学报(中文版),2000,43(2):205-212. 被引量:5

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