Regular functions of operators on tensor products of Hilbert spaces

被引：4
作者：
Gil, MI [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2006年 / 54卷 / 03期
关键词：
Hilbert spaces; tensor products; operator functions; integro-differential equations;
D O I：
10.1007/s00020-004-1359-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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
收藏
页码：317 / 331
页数：15
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