The Krein Formula for Generalized Resolvents in Degenerated Inner Product Spaces

被引：0

作者：

Michael Kaltenbäck

Harald Woracek

机构：

[1] Technische Universität Wien,

[2] Austria,undefined

来源：

Monatshefte für Mathematik | 1999年 / 127卷

关键词：

1991 Mathematics Subject Classification: 47B50; 47B25; 42A82; Key words: Selfadjoint operator; Pontryagin space; generalized resolvent;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let S be a symmetric operator with defect index (1,1) in a Pontryagin space ℋ. The Krein formula establishes a bijective correspondence between the generalized resolvents of S and the set of Nevanlinna functions as parameters. We give an analogue of the Krein formula in the case that ℋ is a degenerated inner product space. The set of parameters is determined by a kernel condition. These results are applied to some classical interpolation problems with singular data.

引用

页码：119 / 140

页数：21

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