OPERATOR-VALUED INTEGRAL OF A VECTOR-FUNCTION AND BASES

被引：0
|
作者：
Faroughi, M. H. [1 ]
机构：
[1] Univ Tabriz, Dept Math, Tabriz, Iran
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2007年 / 13卷 / 04期
关键词：
Lebesque integral; Hilbert space; Banach space; C*-algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we are going to introduce an operator-valued integral of a square modulus weakly integrable mappings the ranges of which are Hilbert spaces, as bounded operators. Then, we shall show that each operator-valued integrable mapping of the index set of an orthonormal basis of a Hilbert space H into H can be written as a multiple of a sum of three orthonormal bases.
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页码：318 / 328
页数：11
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