The Kernel Theorem of Hilbert-Schmidt operators

被引：0

作者：

Martínez-Morales, JL ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Cuernavaca 62131, Morelos, Mexico

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 279卷 / 01期

关键词：

D O I：

10.1016/S0022-247X(02)00391-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

All Hilbert-Schmidt operators acting on L-2-sections of a vector bundle with fiber a separable Hilbert space H over a compact Riemannian manifold M, are characterized. This is achieved by defining the vector bundle of Hilbert-Schmidt operators on H, and then making use of a classical result known as the Kernel Theorem of Hilbert-Schmidt operators. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：71 / 77

页数：7