Estimates for norms of resolvents 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：

Periodica Mathematica Hungarica | 2004年 / 49卷 / 1期

关键词：

integro-differential operators; Hilbert spaces; linear operators; tensor products; spectrum;

D O I：

10.1023/B:MAHU.0000040537.06348.2d

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. That class contains integro-differential operators arising in various applications. Estimates for the norm of the resolvent of considered operators are derived. By virtue of the obtained estimates, the spectrum of perturbed operators is investigated. These results are new even in the finite-dimensional case. Applications to integro-differential operators are also discussed.

引用

页码：27 / 41

页数：14