Biorthogonal expansions for symmetrizable operators

被引：0
|
作者：
Zoltán Sebestyén
Zsigmond Tarcsay
机构：
[1] Eötvös L. University,Department of Applied Analysis
来源：
Acta Mathematica Hungarica | 2011年 / 131卷
关键词：
positive operator; selfadjoint operator; symmetrizable oparator; compact operator; expansion; 47A70; 47B15; 47B25; 47A10; 47B65;
D O I：
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学科分类号：
摘要：
We give an extension of a classical result due to Krein on biorthogonal expansions of compact operators which are symmetrizable with respect to a nondegenerate positive operator. Our approach makes essential use of the spectral expansion of an appropriate compact selfadjoint operator, the existence of which is due to Dieudonné.
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页码：35 / 45
页数：10
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