Regular Functions of Operators on Tensor Products of Hilbert Spaces

被引：0

作者：

M. I. Gil’

机构：

[1] Ben Gurion University of the Negev,Department of Mathematics

来源：

Integral Equations and Operator Theory | 2006年 / 54卷

关键词：

Primary 47A55; 47A75; Secondary 47G10; 47G20; Hilbert spaces; tensor products; operator functions; integro-differential equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the mentioned results to integro-differential equations are also discussed.

引用

页码：317 / 331

页数：14