Biorthogonal expansions for symmetrizable operators

被引：1

作者：

Sebestyen, Z. ^{[1
]}

Tarcsay, Zs. ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Appl Anal, H-1117 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2011年 / 131卷 / 1-2期

关键词：

positive operator; selfadjoint operator; symmetrizable oparator; compact operator; expansion;

D O I：

10.1007/s10474-010-0048-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 Dieudonn,.

引用

页码：35 / 45

页数：11

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