| 关于一类次正常算子的若干结果 |
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| 引用本文： | 严克任. 关于一类次正常算子的若干结果[J]. 复旦学报(自然科学版), 1987, 0(1) |
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| 作者姓名： | 严克任 |
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| 作者单位： | 复旦大学数学研究所 八四级博士研究生 |
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| 摘 要： | 本文讨论了以一致有界的两两可交换的自共轭算子序列作为权的无限维平移;研究了这类算子的次正常性与自对偶次正常性,得到了一个直和分解;证明了两个拟相似的这一类型的亚正常算子必具有相同的本质谱,并讨论了这类算子的二次交换子定理.
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| 关 键 词： | 次正常算子 平移 拟相似 本质谱 |
SOME RESULTS ON A CLASS OF SUBNORMAL OPERATORS |
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| Yan Keren. SOME RESULTS ON A CLASS OF SUBNORMAL OPERATORS[J]. Journal of Fudan University(Natural Science), 1987, 0(1) |
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| Authors: | Yan Keren |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper discusses a class of shift operators with mutually commuting selfadjoint weights. Its subnormality and self-rdual subnormality are studied, and a direct sum decomposition theorem is obtained. It is also proved that two qusi-similar hyponormal operators of this type share the same essential spectra. Finally, an analysis is given to the double commutant property of these operators. |
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| Keywords: | subnormal operators shift quasi-similar essential spectra |
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