On Generalized Operator-valued Toeplitz Kernels

被引：0
|
作者：
Chernobai, Olga [1 ]
机构：
[1] Natl Univ State Tax Serv Ukraine, UA-08200 Irpin, Ukraine
来源：
MODERN ANALYSIS AND APPLICATIONS: MARK KREIN CENTENARY CONFERENCE, VOL 1: OPERATOR THEORY AND RELATED TOPICS | 2009年 / 190卷
关键词：
Positive definite functions; Toeplitz kernels; generalized Toeplitz kernels; quasinuclear riggings of spaces; projection spectral theorem;
D O I：
10.1007/978-3-7643-9919-1_11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this report, we sketch the proof of an integral representation for operator-valued Toeplitz kernels. The proof is based on the spectral theory for the corresponding differential operator constructed from this kernel and acting in Hilbert space. The report also contains references to other new results concerning such Toeplitz kernels.
引用
收藏
页码：191 / 195
页数：5
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