| 关于近次正常加权移位算子的一个注记 |
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| 引用本文： | 王公宝,马吉溥. 关于近次正常加权移位算子的一个注记[J]. 数学年刊A辑(中文版), 2005, 0(2) |
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| 作者姓名： | 王公宝 马吉溥 |
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| 作者单位： | 海军工程大学基础部，南京大学数学系 武汉 430033，南京 210093 |
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| 基金项目： | 国家自然科学基金(No．10271053)海军工程大学科学研究基金(HGDJJ03001)资助的项目． |
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| 摘 要： | 本文给出了双侧加权移位算子的近次正常性的完全刻画.作为主要结果的应用,文章的最后提供了Hilbert空间第160问题的许多新的答案.
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| 关 键 词： | 加权移位算子 近次正常算子 次正常算子 亚正常算子 M—P广义逆 |
A NOTE ON NEAR SUBNORMAL WEIGHTED SHIFTS |
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| WANG Gongbao MA Jipu. A NOTE ON NEAR SUBNORMAL WEIGHTED SHIFTS[J]. Chinese Annals of Mathematics, 2005, 0(2) |
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| Authors: | WANG Gongbao MA Jipu |
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| Affiliation: | WANG Gongbao MA Jipu Department of Basic Courses,Naval University of Engineering,Hubei 430033,China. Department of Mathematics,Nanjing University,Nanjing 210093,China. |
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| Abstract: | A complete characterization of near subnormality for bilateral weighted shifts is obtained. As an application of the main results, many new answers to the Hilbert space problem 160 are presented at the end of the paper. |
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| Keywords: | Weighted shifts Near subnormal operators Subnormal operators Hyponormal operators M-P generalized inverse |
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