Factorizations of Kernels and Reproducing Kernel Hilbert Spaces

被引：0
|
作者：
Rani Kumari
Jaydeb Sarkar
Srijan Sarkar
Dan Timotin
机构：
[1] Indian Statistical Institute,Statistics and Mathematics Unit
[2] Institute of Mathematics of the Romanian Academy,undefined
来源：
Integral Equations and Operator Theory | 2017年 / 87卷
关键词：
Reproducing kernels; Submodules; Quotient modules; Hardy space; 47A13; 47A20; 47A56; 47B38; 14M99; 46E20; 30H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of Brehmer type submodules.
引用
收藏
页码：225 / 244
页数：19
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