多项式算子谱的带权估计 |
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引用本文: | 黄振明.多项式算子谱的带权估计[J].南通大学学报(自然科学版),2006,5(2):20-23. |
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作者姓名: | 黄振明 |
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作者单位: | 苏州市广播电视大学,江苏,苏州,215004 |
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摘 要: | 考虑多项式算子谱的带权估计,利用分部积分、Rayleigh定理、Schwartz不等式等方法,建立了用前n个谱来估计第n 1个谱的上界的不等式,且其估计系数与区域度量无关.
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关 键 词: | 算子 谱 特征函数 带权估计 |
文章编号: | 1673-2340(2006)02-0020-04 |
收稿时间: | 2005-10-24 |
修稿时间: | 2005年10月24 |
Weighted Estimates of Polynomial Operator Spectra |
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Authors: | HUANG Zhen-ming |
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Abstract: | This paper considers weighted estimates of polynomial operator spectra by using the methods of integral,Rayleigh theorem and Schwartz inequality and establishes the inequality of upper bound of the(n 1) spectrum by depending on the former n spectra and the estimated coefficient is independent of the measure of the domain. |
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Keywords: | operator spectrum eigenfunction weighted estimate |
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